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Finding the Fourth Proportional to 149.38, 224.03 and 105.92

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Solution

The fourth proportional to 149.38, 224.03 and 105.92 is: 158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.38 : 224.03 = 105.92 : x
  2. Step 2: Convert to fraction form
    149.38/224.03 = 105.92/x
  3. Step 3: Cross multiply
    149.38x = 224.03 × 105.92
  4. Step 4: Simplify right side
    149.38x = 23,730.25
  5. Step 5: Solve for x
    x = 23,730.25/149.38
  6. Step 6: Final answer
    x = 158.85

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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.