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

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

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

Answer 2

$\sf\frac{72}{126}=\frac{36}{x}\\Cross~multiply\\72x=126(36)\\Solve~for~x\\x=63$

$\sf\frac{72}{126}=\frac{24}{y}\\Cross~multiply\\72y=126(24)\\Solve~for~y\\y=42$

$\sf\frac{72}{126}=\frac{12}{z}\\Cross~multiply\\72z=126(12)\\Solve~for~z\\z=21$

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 :)