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Finding the Fourth Proportional to 77.96, 115.92 and 73.82

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Solution

The fourth proportional to 77.96, 115.92 and 73.82 is: 109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.96 : 115.92 = 73.82 : x
  2. Step 2: Convert to fraction form
    77.96/115.92 = 73.82/x
  3. Step 3: Cross multiply
    77.96x = 115.92 × 73.82
  4. Step 4: Simplify right side
    77.96x = 8,557.21
  5. Step 5: Solve for x
    x = 8,557.21/77.96
  6. Step 6: Final answer
    x = 109.76

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