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Finding the Fourth Proportional to 138.20, 206.96 and 86.69

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Solution

The fourth proportional to 138.20, 206.96 and 86.69 is: 129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.20 : 206.96 = 86.69 : x
  2. Step 2: Convert to fraction form
    138.20/206.96 = 86.69/x
  3. Step 3: Cross multiply
    138.20x = 206.96 × 86.69
  4. Step 4: Simplify right side
    138.20x = 17,941.36
  5. Step 5: Solve for x
    x = 17,941.36/138.20
  6. Step 6: Final answer
    x = 129.82

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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.