find the values of the variables

32 40
96 120
112 x
144 180
k 230

how do you do this? what is the formula? Thank you

These are ratios equal to 4/5

how would you get what x and k would equal?

Set up proportions, cross multiply and solve for the unknwon.

4/5 = 112/x
4x = 560
x = 140

THANK YOU SO MUCH, FOR ALL YOUR HELP. I get it know.

You're very welcome, Sam. :-)

To find the values of the variables in the given table, we need to identify the pattern or relationship between the numbers in each pair.

Let's look at each pair of numbers:
1) 32 and 40: By observing, we can see that 40 is obtained by multiplying 32 by 1.25 (32 x 1.25 = 40). So, the relationship here is multiplication by 1.25.

2) 96 and 120: Similarly, we can see that 120 is obtained by multiplying 96 by 1.25 (96 x 1.25 = 120). Therefore, the relationship is multiplication by 1.25.

3) 112 and x: Since we know the relationship is multiplication by 1.25, we can find the value of x by multiplying 112 by 1.25. So, x = 112 x 1.25.

4) 144 and 180: Again, we can see that 180 is obtained by multiplying 144 by 1.25 (144 x 1.25 = 180). The relationship here is also multiplication by 1.25.

5) k and 230: Using the same pattern, we can find the value of k by dividing 230 by 1.25. So, k = 230 ÷ 1.25.

In summary, the formula or relationship is multiplication by 1.25. To find the value of x, multiply 112 by 1.25. To find the value of k, divide 230 by 1.25.