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Finding the Fourth Proportional to 77.67, 115.82 and 76.30

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Solution

The fourth proportional to 77.67, 115.82 and 76.30 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.67 : 115.82 = 76.30 : x
  2. Step 2: Convert to fraction form
    77.67/115.82 = 76.30/x
  3. Step 3: Cross multiply
    77.67x = 115.82 × 76.30
  4. Step 4: Simplify right side
    77.67x = 8,837.07
  5. Step 5: Solve for x
    x = 8,837.07/77.67
  6. Step 6: Final answer
    x = 113.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.