Finding the Fourth Proportional to 106.53, 147.00 and 65.09
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Solution
The fourth proportional to 106.53, 147.00 and 65.09 is: 89.82
Step by Step Solution
- Step 1: Write the proportion equation
106.53 : 147.00 = 65.09 : x - Step 2: Convert to fraction form
106.53/147.00 = 65.09/x - Step 3: Cross multiply
106.53x = 147.00 × 65.09 - Step 4: Simplify right side
106.53x = 9,567.90 - Step 5: Solve for x
x = 9,567.90/106.53 - Step 6: Final answer
x = 89.82
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.