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Finding the Fourth Proportional to 138.67, 208.11 and 106.27

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Solution

The fourth proportional to 138.67, 208.11 and 106.27 is: 159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.67 : 208.11 = 106.27 : x
  2. Step 2: Convert to fraction form
    138.67/208.11 = 106.27/x
  3. Step 3: Cross multiply
    138.67x = 208.11 × 106.27
  4. Step 4: Simplify right side
    138.67x = 22,115.85
  5. Step 5: Solve for x
    x = 22,115.85/138.67
  6. Step 6: Final answer
    x = 159.49

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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.