A table of width 5.25 ft and length 7.25 ft is similar to another table of length 9.06 m and width x . What is the measure of x?

The tables are similar, which means the ratio of corresponding sides should be the same.

First, convert the length of the first table from feet to meters because the length of the second table is given in meters.

1 foot = 0.3048 meters

So, 7.25 feet = 7.25 * 0.3048 = 2.21 meters (approximately)

Now, set up a proportion to find the width of the second table (x):

(Width of first table / Length of first table) = (Width of second table / Length of second table)

So, (5.25 ft / 7.25 ft) = (x / 9.06 m)

First, convert the width of the first table from feet to meters:

5.25 feet = 5.25 * 0.3048 = 1.60 meters (approximately)

Now, substitute the known values into the proportion:

(1.60 m / 2.21 m) = (x / 9.06 m)

Cross-multiply to solve for x:

1.60 m * 9.06 m = 2.21 m * x

14.48 = 2.21x

Finally, divide both sides by 2.21 to solve for x:

x = 14.48 / 2.21 = 6.55 meters (approximately)

So, the width of the second table is approximately 6.55 meters.