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Finding the Fourth Proportional to 150, 224.92 and 53.79

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Solution

The fourth proportional to 150, 224.92 and 53.79 is: 80.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 224.92 = 53.79 : x
  2. Step 2: Convert to fraction form
    150/224.92 = 53.79/x
  3. Step 3: Cross multiply
    150x = 224.92 × 53.79
  4. Step 4: Simplify right side
    150x = 12,098.45
  5. Step 5: Solve for x
    x = 12,098.45/150
  6. Step 6: Final answer
    x = 80.66

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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.