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Finding the Fourth Proportional to 83.78, 125.64 and 32.42

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Solution

The fourth proportional to 83.78, 125.64 and 32.42 is: 48.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.78 : 125.64 = 32.42 : x
  2. Step 2: Convert to fraction form
    83.78/125.64 = 32.42/x
  3. Step 3: Cross multiply
    83.78x = 125.64 × 32.42
  4. Step 4: Simplify right side
    83.78x = 4,072.62
  5. Step 5: Solve for x
    x = 4,072.62/83.78
  6. Step 6: Final answer
    x = 48.61

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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.