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Finding the Fourth Proportional to 83.05, 124.57 and 25.27

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Solution

The fourth proportional to 83.05, 124.57 and 25.27 is: 37.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.05 : 124.57 = 25.27 : x
  2. Step 2: Convert to fraction form
    83.05/124.57 = 25.27/x
  3. Step 3: Cross multiply
    83.05x = 124.57 × 25.27
  4. Step 4: Simplify right side
    83.05x = 3,147.88
  5. Step 5: Solve for x
    x = 3,147.88/83.05
  6. Step 6: Final answer
    x = 37.90

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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.