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Finding the Fourth Proportional to 71.47, 106.65 and 64.17

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Solution

The fourth proportional to 71.47, 106.65 and 64.17 is: 95.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.47 : 106.65 = 64.17 : x
  2. Step 2: Convert to fraction form
    71.47/106.65 = 64.17/x
  3. Step 3: Cross multiply
    71.47x = 106.65 × 64.17
  4. Step 4: Simplify right side
    71.47x = 6,843.73
  5. Step 5: Solve for x
    x = 6,843.73/71.47
  6. Step 6: Final answer
    x = 95.76

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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.