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Finding the Fourth Proportional to 83.06, 115.20 and 74.96

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Solution

The fourth proportional to 83.06, 115.20 and 74.96 is: 103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 115.20 = 74.96 : x
  2. Step 2: Convert to fraction form
    83.06/115.20 = 74.96/x
  3. Step 3: Cross multiply
    83.06x = 115.20 × 74.96
  4. Step 4: Simplify right side
    83.06x = 8,634.82
  5. Step 5: Solve for x
    x = 8,634.82/83.06
  6. Step 6: Final answer
    x = 103.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.