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Finding the Fourth Proportional to 149.76, 224.51 and 53.55

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Solution

The fourth proportional to 149.76, 224.51 and 53.55 is: 80.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 224.51 = 53.55 : x
  2. Step 2: Convert to fraction form
    149.76/224.51 = 53.55/x
  3. Step 3: Cross multiply
    149.76x = 224.51 × 53.55
  4. Step 4: Simplify right side
    149.76x = 12,023.29
  5. Step 5: Solve for x
    x = 12,023.29/149.76
  6. Step 6: Final answer
    x = 80.28

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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.