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Finding the Fourth Proportional to 86.79, 119.00 and 85.25

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Solution

The fourth proportional to 86.79, 119.00 and 85.25 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.79 : 119.00 = 85.25 : x
  2. Step 2: Convert to fraction form
    86.79/119.00 = 85.25/x
  3. Step 3: Cross multiply
    86.79x = 119.00 × 85.25
  4. Step 4: Simplify right side
    86.79x = 10,143.73
  5. Step 5: Solve for x
    x = 10,143.73/86.79
  6. Step 6: Final answer
    x = 116.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.