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Finding the Fourth Proportional to 138.50, 207.86 and 104.36

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Solution

The fourth proportional to 138.50, 207.86 and 104.36 is: 156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.50 : 207.86 = 104.36 : x
  2. Step 2: Convert to fraction form
    138.50/207.86 = 104.36/x
  3. Step 3: Cross multiply
    138.50x = 207.86 × 104.36
  4. Step 4: Simplify right side
    138.50x = 21,691.49
  5. Step 5: Solve for x
    x = 21,691.49/138.50
  6. Step 6: Final answer
    x = 156.61

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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.