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Finding the Fourth Proportional to 138.70, 208.17 and 77.89

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Solution

The fourth proportional to 138.70, 208.17 and 77.89 is: 116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.70 : 208.17 = 77.89 : x
  2. Step 2: Convert to fraction form
    138.70/208.17 = 77.89/x
  3. Step 3: Cross multiply
    138.70x = 208.17 × 77.89
  4. Step 4: Simplify right side
    138.70x = 16,214.36
  5. Step 5: Solve for x
    x = 16,214.36/138.70
  6. Step 6: Final answer
    x = 116.90

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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.