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Finding the Fourth Proportional to 138.20, 206.97 and 97.43

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Solution

The fourth proportional to 138.20, 206.97 and 97.43 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.20 : 206.97 = 97.43 : x
  2. Step 2: Convert to fraction form
    138.20/206.97 = 97.43/x
  3. Step 3: Cross multiply
    138.20x = 206.97 × 97.43
  4. Step 4: Simplify right side
    138.20x = 20,165.24
  5. Step 5: Solve for x
    x = 20,165.24/138.20
  6. Step 6: Final answer
    x = 145.91

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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.