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Finding the Fourth Proportional to 138.42, 207.80 and 99.92

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Solution

The fourth proportional to 138.42, 207.80 and 99.92 is: 149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.42 : 207.80 = 99.92 : x
  2. Step 2: Convert to fraction form
    138.42/207.80 = 99.92/x
  3. Step 3: Cross multiply
    138.42x = 207.80 × 99.92
  4. Step 4: Simplify right side
    138.42x = 20,761.84
  5. Step 5: Solve for x
    x = 20,761.84/138.42
  6. Step 6: Final answer
    x = 149.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.