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Finding the Fourth Proportional to 71.53, 106.77 and 69.61

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Solution

The fourth proportional to 71.53, 106.77 and 69.61 is: 103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 106.77 = 69.61 : x
  2. Step 2: Convert to fraction form
    71.53/106.77 = 69.61/x
  3. Step 3: Cross multiply
    71.53x = 106.77 × 69.61
  4. Step 4: Simplify right side
    71.53x = 7,431.38
  5. Step 5: Solve for x
    x = 7,431.38/71.53
  6. Step 6: Final answer
    x = 103.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.