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Finding the Fourth Proportional to 83.57, 125.30 and 25.77

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Solution

The fourth proportional to 83.57, 125.30 and 25.77 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.57 : 125.30 = 25.77 : x
  2. Step 2: Convert to fraction form
    83.57/125.30 = 25.77/x
  3. Step 3: Cross multiply
    83.57x = 125.30 × 25.77
  4. Step 4: Simplify right side
    83.57x = 3,229.02
  5. Step 5: Solve for x
    x = 3,229.02/83.57
  6. Step 6: Final answer
    x = 38.64

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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.