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Finding the Fourth Proportional to 77.20, 107.23 and 74.92

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Solution

The fourth proportional to 77.20, 107.23 and 74.92 is: 104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.20 : 107.23 = 74.92 : x
  2. Step 2: Convert to fraction form
    77.20/107.23 = 74.92/x
  3. Step 3: Cross multiply
    77.20x = 107.23 × 74.92
  4. Step 4: Simplify right side
    77.20x = 8,033.67
  5. Step 5: Solve for x
    x = 8,033.67/77.20
  6. Step 6: Final answer
    x = 104.06

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