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Finding the Fourth Proportional to 149.72, 224.56 and 81.22

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Solution

The fourth proportional to 149.72, 224.56 and 81.22 is: 121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.72 : 224.56 = 81.22 : x
  2. Step 2: Convert to fraction form
    149.72/224.56 = 81.22/x
  3. Step 3: Cross multiply
    149.72x = 224.56 × 81.22
  4. Step 4: Simplify right side
    149.72x = 18,238.76
  5. Step 5: Solve for x
    x = 18,238.76/149.72
  6. Step 6: Final answer
    x = 121.82

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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.