Answer: To fill in the missing values in the ratio table, we can use cross-multiplication.
Starting with the first row, we know that the ratio of meters to minutes is constant, so we can set up the equation:
$88/4 = x/\frac{1}{3}$
where x is the unknown value.
Cross-multiplying, we get:
$88 \cdot \frac{1}{3} = 4x$
Simplifying, we get:
$\frac{88}{3} = x$
So the missing value in the first row is $\frac{88}{3}$.
We can use the same method to fill in the missing values in the second and third rows:
For the second row:
$4/1 = x/1$
$4 = x$
So the missing value is 4.
For the third row:
$88/5 = x/12$
$88 \cdot 12 = 5x$
$x = \frac{88 \cdot 12}{5} = \frac{2112}{5}$
So the missing value is $\frac{2112}{5}$.
Writing the equivalent ratios in the order they appear in the table, we have:
$\frac{88}{4} = \frac{22}{1}$
$\frac{88}{\frac{1}{3}} = 264$
$\frac{4}{1} = 4$
$\frac{\frac{5}{12}}{\frac{1}{4}} = \frac{5}{12} \cdot 4 = \frac{5}{3}$
So the equivalent ratios are:
$22:1, 264:1, 4:1, 5:3$
Explanation: