Question

Find the missing value The ratio 1.2 to 42 is the same as the ratio of 4.8 to ___

Answer 1

If the ratio of a to b and the ratio of c to d is given to be equal, then we can write

`(a)/(b)=(c)/(d)`

Here, it is given that the ratio 1.2 to 42 is the same as the ratio of 4.8 to ---.

Let x be the missing value.

Then, we can write

`\begin{gathered} (1.2)/(42)=(4.8)/(x) \\ \end{gathered}`

Cross multiply and solve for x.

`\begin{gathered} 1.2x=(4.8)(42) \\ x=((4.8)(42))/(1.2) \\ x=(4)(42) \\ x=168 \end{gathered}`

Therefore, the missing value is 168.