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Finding the Fourth Proportional to 138.75, 208.17 and 80.93

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Solution

The fourth proportional to 138.75, 208.17 and 80.93 is: 121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 208.17 = 80.93 : x
  2. Step 2: Convert to fraction form
    138.75/208.17 = 80.93/x
  3. Step 3: Cross multiply
    138.75x = 208.17 × 80.93
  4. Step 4: Simplify right side
    138.75x = 16,847.20
  5. Step 5: Solve for x
    x = 16,847.20/138.75
  6. Step 6: Final answer
    x = 121.42

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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.