Question

The ratio of 1.2 to 29 is the same as the ratio of 4.8 to

Answer 1

116

Explanation:

Given the ratio 1.2 : 29, you want x in the equivalent ratio 4.8 : x.

Setup

Equivalent ratios can be written as a proportion:

1.2/29 = 4.8/x

Solution

Multiplying by 29x, we have ...

1.2x = 29(4.8)

Dividing by 1.2 gives ...

x = 29(4.8/1.2) = 29(4) = 116

The ratio is the same as 4.8 to 116.

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Additional comment

A proportion like this can be written 4 ways. The solution takes only one step if the unknown is in the numerator.

`(1.2)/(29)=(4.8)/(x),\quad(29)/(1.2)=(x)/(4.8),\quad(1.2)/(4.8)=(29)/(x),\quad(4.8)/(1.2)=(x)/(29)`