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Finding the Fourth Proportional to 154.87, 232.30 and 82.87

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Solution

The fourth proportional to 154.87, 232.30 and 82.87 is: 124.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.87 : 232.30 = 82.87 : x
  2. Step 2: Convert to fraction form
    154.87/232.30 = 82.87/x
  3. Step 3: Cross multiply
    154.87x = 232.30 × 82.87
  4. Step 4: Simplify right side
    154.87x = 19,249.54
  5. Step 5: Solve for x
    x = 19,249.54/154.87
  6. Step 6: Final answer
    x = 124.30

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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.