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Finding the Fourth Proportional to 154.78, 232.14 and 106.96

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Solution

The fourth proportional to 154.78, 232.14 and 106.96 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.78 : 232.14 = 106.96 : x
  2. Step 2: Convert to fraction form
    154.78/232.14 = 106.96/x
  3. Step 3: Cross multiply
    154.78x = 232.14 × 106.96
  4. Step 4: Simplify right side
    154.78x = 24,829.69
  5. Step 5: Solve for x
    x = 24,829.69/154.78
  6. Step 6: Final answer
    x = 160.42

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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.