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Finding the Fourth Proportional to 80.24, 110.46 and 77.48

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Solution

The fourth proportional to 80.24, 110.46 and 77.48 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.24 : 110.46 = 77.48 : x
  2. Step 2: Convert to fraction form
    80.24/110.46 = 77.48/x
  3. Step 3: Cross multiply
    80.24x = 110.46 × 77.48
  4. Step 4: Simplify right side
    80.24x = 8,558.44
  5. Step 5: Solve for x
    x = 8,558.44/80.24
  6. Step 6: Final answer
    x = 106.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.