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Finding the Fourth Proportional to 149.54, 224.11 and 108.55

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Solution

The fourth proportional to 149.54, 224.11 and 108.55 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.54 : 224.11 = 108.55 : x
  2. Step 2: Convert to fraction form
    149.54/224.11 = 108.55/x
  3. Step 3: Cross multiply
    149.54x = 224.11 × 108.55
  4. Step 4: Simplify right side
    149.54x = 24,326.02
  5. Step 5: Solve for x
    x = 24,326.02/149.54
  6. Step 6: Final answer
    x = 162.68

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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.