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Finding the Fourth Proportional to 138.24, 207.42 and 80.44

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Solution

The fourth proportional to 138.24, 207.42 and 80.44 is: 120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.24 : 207.42 = 80.44 : x
  2. Step 2: Convert to fraction form
    138.24/207.42 = 80.44/x
  3. Step 3: Cross multiply
    138.24x = 207.42 × 80.44
  4. Step 4: Simplify right side
    138.24x = 16,684.86
  5. Step 5: Solve for x
    x = 16,684.86/138.24
  6. Step 6: Final answer
    x = 120.69

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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.