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Finding the Fourth Proportional to 101.92, 152.78 and 82.58

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Solution

The fourth proportional to 101.92, 152.78 and 82.58 is: 123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 152.78 = 82.58 : x
  2. Step 2: Convert to fraction form
    101.92/152.78 = 82.58/x
  3. Step 3: Cross multiply
    101.92x = 152.78 × 82.58
  4. Step 4: Simplify right side
    101.92x = 12,616.57
  5. Step 5: Solve for x
    x = 12,616.57/101.92
  6. Step 6: Final answer
    x = 123.79

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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.