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Finding the Fourth Proportional to 83.63, 125.42 and 42.96

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Solution

The fourth proportional to 83.63, 125.42 and 42.96 is: 64.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.63 : 125.42 = 42.96 : x
  2. Step 2: Convert to fraction form
    83.63/125.42 = 42.96/x
  3. Step 3: Cross multiply
    83.63x = 125.42 × 42.96
  4. Step 4: Simplify right side
    83.63x = 5,388.30
  5. Step 5: Solve for x
    x = 5,388.30/83.63
  6. Step 6: Final answer
    x = 64.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.