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Finding the Fourth Proportional to 89.20, 122.79 and 83.13

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Solution

The fourth proportional to 89.20, 122.79 and 83.13 is: 114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.20 : 122.79 = 83.13 : x
  2. Step 2: Convert to fraction form
    89.20/122.79 = 83.13/x
  3. Step 3: Cross multiply
    89.20x = 122.79 × 83.13
  4. Step 4: Simplify right side
    89.20x = 10,207.53
  5. Step 5: Solve for x
    x = 10,207.53/89.20
  6. Step 6: Final answer
    x = 114.43

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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.