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Finding the Fourth Proportional to 138.21, 207.38 and 80.46

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Solution

The fourth proportional to 138.21, 207.38 and 80.46 is: 120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.21 : 207.38 = 80.46 : x
  2. Step 2: Convert to fraction form
    138.21/207.38 = 80.46/x
  3. Step 3: Cross multiply
    138.21x = 207.38 × 80.46
  4. Step 4: Simplify right side
    138.21x = 16,686.00
  5. Step 5: Solve for x
    x = 16,686.00/138.21
  6. Step 6: Final answer
    x = 120.73

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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.