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Finding the Fourth Proportional to 138.10, 206.85 and 119.12

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Solution

The fourth proportional to 138.10, 206.85 and 119.12 is: 178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.10 : 206.85 = 119.12 : x
  2. Step 2: Convert to fraction form
    138.10/206.85 = 119.12/x
  3. Step 3: Cross multiply
    138.10x = 206.85 × 119.12
  4. Step 4: Simplify right side
    138.10x = 24,639.97
  5. Step 5: Solve for x
    x = 24,639.97/138.10
  6. Step 6: Final answer
    x = 178.42

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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.