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Finding the Fourth Proportional to 83.76, 125.76 and 54.96

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Solution

The fourth proportional to 83.76, 125.76 and 54.96 is: 82.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.76 : 125.76 = 54.96 : x
  2. Step 2: Convert to fraction form
    83.76/125.76 = 54.96/x
  3. Step 3: Cross multiply
    83.76x = 125.76 × 54.96
  4. Step 4: Simplify right side
    83.76x = 6,911.77
  5. Step 5: Solve for x
    x = 6,911.77/83.76
  6. Step 6: Final answer
    x = 82.52

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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.