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Finding the Fourth Proportional to 103.62, 154.42 and 99.12

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Solution

The fourth proportional to 103.62, 154.42 and 99.12 is: 147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.62 : 154.42 = 99.12 : x
  2. Step 2: Convert to fraction form
    103.62/154.42 = 99.12/x
  3. Step 3: Cross multiply
    103.62x = 154.42 × 99.12
  4. Step 4: Simplify right side
    103.62x = 15,306.11
  5. Step 5: Solve for x
    x = 15,306.11/103.62
  6. Step 6: Final answer
    x = 147.71

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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.