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Finding the Fourth Proportional to 138.92, 208.10 and 102.74

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Solution

The fourth proportional to 138.92, 208.10 and 102.74 is: 153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.92 : 208.10 = 102.74 : x
  2. Step 2: Convert to fraction form
    138.92/208.10 = 102.74/x
  3. Step 3: Cross multiply
    138.92x = 208.10 × 102.74
  4. Step 4: Simplify right side
    138.92x = 21,380.19
  5. Step 5: Solve for x
    x = 21,380.19/138.92
  6. Step 6: Final answer
    x = 153.90

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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.