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Finding the Fourth Proportional to 86.89, 130.34 and 82.57

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Solution

The fourth proportional to 86.89, 130.34 and 82.57 is: 123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.89 : 130.34 = 82.57 : x
  2. Step 2: Convert to fraction form
    86.89/130.34 = 82.57/x
  3. Step 3: Cross multiply
    86.89x = 130.34 × 82.57
  4. Step 4: Simplify right side
    86.89x = 10,761.11
  5. Step 5: Solve for x
    x = 10,761.11/86.89
  6. Step 6: Final answer
    x = 123.85

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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.