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Finding the Fourth Proportional to 71.76, 106.73 and 65.27

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Solution

The fourth proportional to 71.76, 106.73 and 65.27 is: 97.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.76 : 106.73 = 65.27 : x
  2. Step 2: Convert to fraction form
    71.76/106.73 = 65.27/x
  3. Step 3: Cross multiply
    71.76x = 106.73 × 65.27
  4. Step 4: Simplify right side
    71.76x = 6,965.90
  5. Step 5: Solve for x
    x = 6,965.90/71.76
  6. Step 6: Final answer
    x = 97.07

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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.