Question

I need help with this question for homework.

Complete the ratio table below and then write the three new equivalent ratios.

fill out table write three new equivalent ratios
___________________ __________
I_72__I_36_I_24_I_12_I I___I___I___I
I_126_I____I____I____I I___I___I___I

Answer 1

`\sf(72)/(126)=(36)/(x)\\Cross~multiply\\72x=126(36)\\Solve~for~x\\x=63`


`\sf(72)/(126)=(24)/(y)\\Cross~multiply\\72y=126(24)\\Solve~for~y\\y=42`


`\sf(72)/(126)=(12)/(z)\\Cross~multiply\\72z=126(12)\\Solve~for~z\\z=21`

And three more equivalent ratios are filled in the table:

___________________ _____________
I_72__I_36_I_24_I_12_I I_4_I_8__I_16_I
I_126_I_63_I_42_I_21_I I_7_I_14_I_28_I

I hope that helps :)

Answer 2

Here's the method on the first one (36)

The ratio is
`(72)/(126)=(36)/(63)=(12)/(21)=(4)/(7)`, hence if we call
`x`the number below
`36`, we will have
`\frac{36}x=(72)/(126)=\frac{4}7` hence
`x=\frac{36\cdot7}4=63`

I_72__I_36_I_24_I_12_I
I_126_I_63_I_42_I_21_I