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Finding the Fourth Proportional to 89.40, 123.21 and 81.71

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Solution

The fourth proportional to 89.40, 123.21 and 81.71 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.40 : 123.21 = 81.71 : x
  2. Step 2: Convert to fraction form
    89.40/123.21 = 81.71/x
  3. Step 3: Cross multiply
    89.40x = 123.21 × 81.71
  4. Step 4: Simplify right side
    89.40x = 10,067.49
  5. Step 5: Solve for x
    x = 10,067.49/89.40
  6. Step 6: Final answer
    x = 112.61

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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.