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Finding the Fourth Proportional to 154.89, 232.11 and 106.02

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Solution

The fourth proportional to 154.89, 232.11 and 106.02 is: 158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.89 : 232.11 = 106.02 : x
  2. Step 2: Convert to fraction form
    154.89/232.11 = 106.02/x
  3. Step 3: Cross multiply
    154.89x = 232.11 × 106.02
  4. Step 4: Simplify right side
    154.89x = 24,608.30
  5. Step 5: Solve for x
    x = 24,608.30/154.89
  6. Step 6: Final answer
    x = 158.88

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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.