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Finding the Fourth Proportional to 86.67, 129.87 and 76.65

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Solution

The fourth proportional to 86.67, 129.87 and 76.65 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.67 : 129.87 = 76.65 : x
  2. Step 2: Convert to fraction form
    86.67/129.87 = 76.65/x
  3. Step 3: Cross multiply
    86.67x = 129.87 × 76.65
  4. Step 4: Simplify right side
    86.67x = 9,954.05
  5. Step 5: Solve for x
    x = 9,954.05/86.67
  6. Step 6: Final answer
    x = 114.85

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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.