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Finding the Fourth Proportional to 154.96, 232.13 and 100.69

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Solution

The fourth proportional to 154.96, 232.13 and 100.69 is: 150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 232.13 = 100.69 : x
  2. Step 2: Convert to fraction form
    154.96/232.13 = 100.69/x
  3. Step 3: Cross multiply
    154.96x = 232.13 × 100.69
  4. Step 4: Simplify right side
    154.96x = 23,372.84
  5. Step 5: Solve for x
    x = 23,372.84/154.96
  6. Step 6: Final answer
    x = 150.83

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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.