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Finding the Fourth Proportional to 83.63, 125.42 and 25.83

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Solution

The fourth proportional to 83.63, 125.42 and 25.83 is: 38.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.63 : 125.42 = 25.83 : x
  2. Step 2: Convert to fraction form
    83.63/125.42 = 25.83/x
  3. Step 3: Cross multiply
    83.63x = 125.42 × 25.83
  4. Step 4: Simplify right side
    83.63x = 3,239.47
  5. Step 5: Solve for x
    x = 3,239.47/83.63
  6. Step 6: Final answer
    x = 38.74

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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.