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Finding the Fourth Proportional to 95.96, 132.18 and 86.78

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Solution

The fourth proportional to 95.96, 132.18 and 86.78 is: 119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.96 : 132.18 = 86.78 : x
  2. Step 2: Convert to fraction form
    95.96/132.18 = 86.78/x
  3. Step 3: Cross multiply
    95.96x = 132.18 × 86.78
  4. Step 4: Simplify right side
    95.96x = 11,470.58
  5. Step 5: Solve for x
    x = 11,470.58/95.96
  6. Step 6: Final answer
    x = 119.54

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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.