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Finding the Fourth Proportional to 81.92, 112.95 and 60.05

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Solution

The fourth proportional to 81.92, 112.95 and 60.05 is: 82.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.92 : 112.95 = 60.05 : x
  2. Step 2: Convert to fraction form
    81.92/112.95 = 60.05/x
  3. Step 3: Cross multiply
    81.92x = 112.95 × 60.05
  4. Step 4: Simplify right side
    81.92x = 6,782.65
  5. Step 5: Solve for x
    x = 6,782.65/81.92
  6. Step 6: Final answer
    x = 82.80

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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.