Question

How do you write a proportion that you can use to convert $60$inches to centimeters?

Answer 1

● The inch is a unit of length in the imperial and United States customary systems of measurement. It is equal to $\dfrac{1}{{36}}$yard or $\dfrac{1}{{12}}$of a foot.

Derived from the Roman uncia, the word inch is also sometimes used to translate similar units in other measurement systems, usually understood as deriving from the width of the human thumb.

● A centimetre is a unit of length in the metric system, equal to one hundred of a metre, centi being the SI prefix for a factor of $\dfrac{1}{{100}}$. The centimetre was the base unit of the length in the now deprecated centimetre-gram-second system of units.

Complete Step-by-step solution:
First find the equivalency between inches and centimeters.
$1in = 2.54cm$, exactly.

There are two proportions (also called ratios or conversion factors)
$\dfrac{{1in}}{{2.54cm}}$and $\dfrac{{2.54cm}}{{1in}}$

Converting $60$inches to $cm$

Multiply the number of inches by the proportion that has cm in the numerator and $60inches$in the denominator.

This will cancel inches and leave centimeters.
$60in\dfrac{{2.54cm}}{{1in}} = 152.4cm$

Additional Information:
● Current use (inch)- The inch is mostly used in the United States, Canada, and the United
Kingdom. It is also sometimes used in Japan in relation to electronic parts, like the size of
display screens.

● Current use (centimeter)- the centimeter, like the meter, is used in all sorts of applications
worldwide in instances where a smaller denomination of the meter is required. Height is
commonly measured in centimeters outside of countries like the United States.

Note: In the given question and other questions like this, you just need to simply put the original measurement and apply for the conversion. Follow up the above given method to get accurate results for such questions.