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Finding the Fourth Proportional to 99.29, 136.86 and 69.73

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Solution

The fourth proportional to 99.29, 136.86 and 69.73 is: 96.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.29 : 136.86 = 69.73 : x
  2. Step 2: Convert to fraction form
    99.29/136.86 = 69.73/x
  3. Step 3: Cross multiply
    99.29x = 136.86 × 69.73
  4. Step 4: Simplify right side
    99.29x = 9,542.64
  5. Step 5: Solve for x
    x = 9,542.64/99.29
  6. Step 6: Final answer
    x = 96.11

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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.