Question

the ratio of 1.4 to 32 is the same as the ratio of 2.8 to

Answer 1

We are told that the ratio of 1.4 to 32 is the same as the ratio of 2.8 to a value that we are going to all x. Then we can formulate the following expression:

ratio 1 = ratio 2

Where ratio 1 is the ratio of 1.4 to 32 and ratio 2 is the ratio of 2.8 to x. the ratio 1 can be expressed like this:

ratio 1 = 1.4/32

And the ratio 2 can be expressed like this:

ratio 2 = 2.8/x

Then, we get:

$\frac{1.4}{32}=\frac{2.8}{x}$

From this expression, we can solve for x to get:

$\begin{gathered} \frac{1.4}{32}=\frac{2.8}{x} \\ \frac{1.4}{32}x=2.8 \\ \frac{x}{32}=\frac{2.8}{1.4} \\ x=\frac{2.8}{1.4}32 \\ x=2\times32 \\ x=64 \end{gathered}$

Then, the ratio of 1.4 to 32 is the same as the ratio of 2.8 to 64