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Finding the Fourth Proportional to 75.53, 104.17 and 65.15

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Solution

The fourth proportional to 75.53, 104.17 and 65.15 is: 89.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.53 : 104.17 = 65.15 : x
  2. Step 2: Convert to fraction form
    75.53/104.17 = 65.15/x
  3. Step 3: Cross multiply
    75.53x = 104.17 × 65.15
  4. Step 4: Simplify right side
    75.53x = 6,786.68
  5. Step 5: Solve for x
    x = 6,786.68/75.53
  6. Step 6: Final answer
    x = 89.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.