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Finding the Fourth Proportional to 138.76, 208.17 and 52.11

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Solution

The fourth proportional to 138.76, 208.17 and 52.11 is: 78.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.76 : 208.17 = 52.11 : x
  2. Step 2: Convert to fraction form
    138.76/208.17 = 52.11/x
  3. Step 3: Cross multiply
    138.76x = 208.17 × 52.11
  4. Step 4: Simplify right side
    138.76x = 10,847.74
  5. Step 5: Solve for x
    x = 10,847.74/138.76
  6. Step 6: Final answer
    x = 78.18

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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.