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Finding the Fourth Proportional to 77.83, 107.84 and 76.85

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Solution

The fourth proportional to 77.83, 107.84 and 76.85 is: 106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.83 : 107.84 = 76.85 : x
  2. Step 2: Convert to fraction form
    77.83/107.84 = 76.85/x
  3. Step 3: Cross multiply
    77.83x = 107.84 × 76.85
  4. Step 4: Simplify right side
    77.83x = 8,286.96
  5. Step 5: Solve for x
    x = 8,286.96/77.83
  6. Step 6: Final answer
    x = 106.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.