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Finding the Fourth Proportional to 90.92, 125.42 and 61.84

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Solution

The fourth proportional to 90.92, 125.42 and 61.84 is: 85.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.92 : 125.42 = 61.84 : x
  2. Step 2: Convert to fraction form
    90.92/125.42 = 61.84/x
  3. Step 3: Cross multiply
    90.92x = 125.42 × 61.84
  4. Step 4: Simplify right side
    90.92x = 7,755.97
  5. Step 5: Solve for x
    x = 7,755.97/90.92
  6. Step 6: Final answer
    x = 85.31

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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.