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Finding the Fourth Proportional to 138.66, 208.14 and 77.85

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Solution

The fourth proportional to 138.66, 208.14 and 77.85 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.66 : 208.14 = 77.85 : x
  2. Step 2: Convert to fraction form
    138.66/208.14 = 77.85/x
  3. Step 3: Cross multiply
    138.66x = 208.14 × 77.85
  4. Step 4: Simplify right side
    138.66x = 16,203.70
  5. Step 5: Solve for x
    x = 16,203.70/138.66
  6. Step 6: Final answer
    x = 116.86

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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.