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Finding the Fourth Proportional to 86.31, 119.27 and 77.19

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Solution

The fourth proportional to 86.31, 119.27 and 77.19 is: 106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.31 : 119.27 = 77.19 : x
  2. Step 2: Convert to fraction form
    86.31/119.27 = 77.19/x
  3. Step 3: Cross multiply
    86.31x = 119.27 × 77.19
  4. Step 4: Simplify right side
    86.31x = 9,207.20
  5. Step 5: Solve for x
    x = 9,207.20/86.31
  6. Step 6: Final answer
    x = 106.68

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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.