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Finding the Fourth Proportional to 89.16, 122.92 and 82.68

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Solution

The fourth proportional to 89.16, 122.92 and 82.68 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.16 : 122.92 = 82.68 : x
  2. Step 2: Convert to fraction form
    89.16/122.92 = 82.68/x
  3. Step 3: Cross multiply
    89.16x = 122.92 × 82.68
  4. Step 4: Simplify right side
    89.16x = 10,163.03
  5. Step 5: Solve for x
    x = 10,163.03/89.16
  6. Step 6: Final answer
    x = 113.99

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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.