Finding the Fourth Proportional to 71.59, 107.42 and 44.53
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Solution
The fourth proportional to 71.59, 107.42 and 44.53 is: 66.82
Step by Step Solution
- Step 1: Write the proportion equation
71.59 : 107.42 = 44.53 : x - Step 2: Convert to fraction form
71.59/107.42 = 44.53/x - Step 3: Cross multiply
71.59x = 107.42 × 44.53 - Step 4: Simplify right side
71.59x = 4,783.41 - Step 5: Solve for x
x = 4,783.41/71.59 - Step 6: Final answer
x = 66.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.