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Finding the Fourth Proportional to 89.14, 122.82 and 61.48

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Solution

The fourth proportional to 89.14, 122.82 and 61.48 is: 84.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.14 : 122.82 = 61.48 : x
  2. Step 2: Convert to fraction form
    89.14/122.82 = 61.48/x
  3. Step 3: Cross multiply
    89.14x = 122.82 × 61.48
  4. Step 4: Simplify right side
    89.14x = 7,550.97
  5. Step 5: Solve for x
    x = 7,550.97/89.14
  6. Step 6: Final answer
    x = 84.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.