Question

Which value makes the ratios equal: 4 to 6 and x/48?

Answer 1

`x=32`

Explanation:

`4/6=x/48 rarr` Set the ratios equal to one another

`4/6=2/3 rarr` Simplify the first fraction

`2/3=x/48 rarr` Cross multiply

`2*48=3*x`

`96=3x`

`x=32`

Answer 2

`x = 32`

Here's how I did it:

Explanation:

To solve this, we set up a proportion:
`4/6 = x/48`

Now, we use this method called cross multiplication:

(study.com)

As you can see from this image, we multiply `4` with `48` and `6` with `x`:
`4*48 = 6x`

`192 = 6x`

And finally divide both sides by `6`:
`x = 32`

Hope this helps!