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Finding the Fourth Proportional to 83.78, 125.67 and 76.58

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Solution

The fourth proportional to 83.78, 125.67 and 76.58 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.78 : 125.67 = 76.58 : x
  2. Step 2: Convert to fraction form
    83.78/125.67 = 76.58/x
  3. Step 3: Cross multiply
    83.78x = 125.67 × 76.58
  4. Step 4: Simplify right side
    83.78x = 9,623.81
  5. Step 5: Solve for x
    x = 9,623.81/83.78
  6. Step 6: Final answer
    x = 114.87

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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.