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Finding the Fourth Proportional to 138.28, 207.46 and 107.78

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Solution

The fourth proportional to 138.28, 207.46 and 107.78 is: 161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.28 : 207.46 = 107.78 : x
  2. Step 2: Convert to fraction form
    138.28/207.46 = 107.78/x
  3. Step 3: Cross multiply
    138.28x = 207.46 × 107.78
  4. Step 4: Simplify right side
    138.28x = 22,360.04
  5. Step 5: Solve for x
    x = 22,360.04/138.28
  6. Step 6: Final answer
    x = 161.70

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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.