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Finding the Fourth Proportional to 154.96, 232.17 and 82.78

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Solution

The fourth proportional to 154.96, 232.17 and 82.78 is: 124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 232.17 = 82.78 : x
  2. Step 2: Convert to fraction form
    154.96/232.17 = 82.78/x
  3. Step 3: Cross multiply
    154.96x = 232.17 × 82.78
  4. Step 4: Simplify right side
    154.96x = 19,219.03
  5. Step 5: Solve for x
    x = 19,219.03/154.96
  6. Step 6: Final answer
    x = 124.03

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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.