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Finding the Fourth Proportional to 71.92, 107.15 and 69.04

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Solution

The fourth proportional to 71.92, 107.15 and 69.04 is: 102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.92 : 107.15 = 69.04 : x
  2. Step 2: Convert to fraction form
    71.92/107.15 = 69.04/x
  3. Step 3: Cross multiply
    71.92x = 107.15 × 69.04
  4. Step 4: Simplify right side
    71.92x = 7,397.64
  5. Step 5: Solve for x
    x = 7,397.64/71.92
  6. Step 6: Final answer
    x = 102.86

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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.