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Finding the Fourth Proportional to 87.53, 120.65 and 73.69

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Solution

The fourth proportional to 87.53, 120.65 and 73.69 is: 101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.53 : 120.65 = 73.69 : x
  2. Step 2: Convert to fraction form
    87.53/120.65 = 73.69/x
  3. Step 3: Cross multiply
    87.53x = 120.65 × 73.69
  4. Step 4: Simplify right side
    87.53x = 8,890.03
  5. Step 5: Solve for x
    x = 8,890.03/87.53
  6. Step 6: Final answer
    x = 101.57

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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.