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Finding the Fourth Proportional to 83.76, 126.12 and 77.76

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Solution

The fourth proportional to 83.76, 126.12 and 77.76 is: 117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.76 : 126.12 = 77.76 : x
  2. Step 2: Convert to fraction form
    83.76/126.12 = 77.76/x
  3. Step 3: Cross multiply
    83.76x = 126.12 × 77.76
  4. Step 4: Simplify right side
    83.76x = 9,807.09
  5. Step 5: Solve for x
    x = 9,807.09/83.76
  6. Step 6: Final answer
    x = 117.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.