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Finding the Fourth Proportional to 86.27, 129.42 and 53.78

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Solution

The fourth proportional to 86.27, 129.42 and 53.78 is: 80.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.27 : 129.42 = 53.78 : x
  2. Step 2: Convert to fraction form
    86.27/129.42 = 53.78/x
  3. Step 3: Cross multiply
    86.27x = 129.42 × 53.78
  4. Step 4: Simplify right side
    86.27x = 6,959.56
  5. Step 5: Solve for x
    x = 6,959.56/86.27
  6. Step 6: Final answer
    x = 80.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.