Question

Complete the ratio table.
7 13
[__] 26
[__] 65
[__] 78
49 91

Answer 1

To complete the ratio table, we need to find the missing values that satisfy the given ratio.

The ratio between the first and second numbers is 7:13. So, we can find the missing value using the proportion:

7/13 = x/26

Cross multiplying, we get:

13x = 7 * 26

13x = 182

Solving for x, we find:

x = 182/13

x ≈ 14

Therefore, the missing value in the first column is approximately 14.

Applying the same process, we can find the missing values for the other columns:

13/26 = x/65

26x = 13 * 65

26x = 845

x = 845/26

x ≈ 32.5

Therefore, the missing value in the second column is approximately 32.5.

49/91 = x/78

91x = 49 * 78

91x = 3822

x = 3822/91

x ≈ 42

Therefore, the missing value in the third column is approximately 42.

The complete ratio table is:

7 13
14 26
32.5 65
49 78
49 91