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Finding the Fourth Proportional to 149.52, 224 and 80.88

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Solution

The fourth proportional to 149.52, 224 and 80.88 is: 121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.52 : 224 = 80.88 : x
  2. Step 2: Convert to fraction form
    149.52/224 = 80.88/x
  3. Step 3: Cross multiply
    149.52x = 224 × 80.88
  4. Step 4: Simplify right side
    149.52x = 18,117.12
  5. Step 5: Solve for x
    x = 18,117.12/149.52
  6. Step 6: Final answer
    x = 121.17

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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.