Question

Find the missing number in the box
in the proportion:

`square/45 = 16/40 = 24/square`

Answer 1

In order to get the missing number, we consider the fact that 40 × 1.125 = 45, i.e., when we multiply 40 by 1.125 we get 45. This indicates that to get the missing number of first ratio, 16 must also be multiplied by 1.125.

When we multiply, we have, 16 × 1.125 = 18.

Hence, the first ratio is `18/45`.

Similarly, to get third ratio we multiply both terms of second ratio by 1.5.

Hence, the third ratio is `24/60`.

∴ \[\frac{\boxed{18}}{45} = \frac{16}{40} = \frac{24}{\boxed{60}}\]