Question

A `24` inch tall picture is `20%` as tall as the ceiling is high. How high is the ceiling?

Answer 1

`120` inches or `10` feet

Explanation:

You can use direct proportion to compare the percentages with the heights.

If `24` inches represents `20%`, what height represents `100%`?

`24/20 = x/100" "(larr"heights")/(larr"percent")`

`x = (24xx100)/20`

`x = 120` inches.

Note that you could also treat this as an increase in a given ratio...

Increase `24` inches in the ratio `100 :20`