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Finding the Fourth Proportional to 83.32, 125.05 and 42.77

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Solution

The fourth proportional to 83.32, 125.05 and 42.77 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.32 : 125.05 = 42.77 : x
  2. Step 2: Convert to fraction form
    83.32/125.05 = 42.77/x
  3. Step 3: Cross multiply
    83.32x = 125.05 × 42.77
  4. Step 4: Simplify right side
    83.32x = 5,348.39
  5. Step 5: Solve for x
    x = 5,348.39/83.32
  6. Step 6: Final answer
    x = 64.19

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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.