Final answer:
To solve for "x" in the given equation, convert the measurements to a common unit, set up a proportion, and solve for "x". The value of "x" is approximately 18.54 cm.
Step-by-step explanation:
To solve for "x" in the equation 1 foot 7 inches / 3 feet 5 inches = x centimeters / 40.0 centimeters, we need to convert the measurements to a common unit. First, convert the measurements from feet and inches to inches. Then, set up a proportion to find the value of "x" in centimeters.
Since 12 inches = 1 foot, 1 foot 7 inches is equal to 19 inches and 3 feet 5 inches is equal to 41 inches. The equation becomes 19 inches / 41 inches = x centimeters / 40.0 centimeters. Cross multiplying, we get (19 inches) * (40.0 centimeters) = (41 inches) * x centimeters.
Simplifying, we have 760 centimeters = 41x centimeters. Dividing both sides by 41, we find x = 18.5366 cm. Rounding to two decimal places, the value of "x" in centimeters is approximately 18.54 cm.