The table shows the length and width of proportional rectangles.
Length (in inches) 4 6 12 16
Width (in inches) 10 15 30 40
Using the table, find the width of a rectangle that has a length of 24.
30
50
60
75
Since the dimensions of the rectangles in the table are proportional, we can create a ratio of length to width for each rectangle.
For the first rectangle, the ratio of length to width is 4/10 = 2/5.
For the second rectangle, the ratio of length to width is 6/15 = 2/5.
For the third rectangle, the ratio of length to width is 12/30 = 2/5.
For the fourth rectangle, the ratio of length to width is 16/40 = 2/5.
We can see that the ratio of length to width is consistent at 2/5 for all the rectangles.
So, if a rectangle has a length of 24, we can use the ratio to find the width.
Length/Width = 2/5
24/Width = 2/5
Cross-multiplying:
Width = (24 * 5) / 2
Width = 120 / 2
Width = 60
So, the width of a rectangle with a length of 24 is 60 inches. Answer: \boxed{60}.