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Finding the Fourth Proportional to 86.46, 119.43 and 82.41

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Solution

The fourth proportional to 86.46, 119.43 and 82.41 is: 113.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 119.43 = 82.41 : x
  2. Step 2: Convert to fraction form
    86.46/119.43 = 82.41/x
  3. Step 3: Cross multiply
    86.46x = 119.43 × 82.41
  4. Step 4: Simplify right side
    86.46x = 9,842.23
  5. Step 5: Solve for x
    x = 9,842.23/86.46
  6. Step 6: Final answer
    x = 113.84

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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.