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Finding the Fourth Proportional to 77.73, 115.85 and 74.96

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Solution

The fourth proportional to 77.73, 115.85 and 74.96 is: 111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.73 : 115.85 = 74.96 : x
  2. Step 2: Convert to fraction form
    77.73/115.85 = 74.96/x
  3. Step 3: Cross multiply
    77.73x = 115.85 × 74.96
  4. Step 4: Simplify right side
    77.73x = 8,683.16
  5. Step 5: Solve for x
    x = 8,683.16/77.73
  6. Step 6: Final answer
    x = 111.71

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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.