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Finding the Fourth Proportional to 108.99, 163.27 and 81.97

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Solution

The fourth proportional to 108.99, 163.27 and 81.97 is: 122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.99 : 163.27 = 81.97 : x
  2. Step 2: Convert to fraction form
    108.99/163.27 = 81.97/x
  3. Step 3: Cross multiply
    108.99x = 163.27 × 81.97
  4. Step 4: Simplify right side
    108.99x = 13,382.02
  5. Step 5: Solve for x
    x = 13,382.02/108.99
  6. Step 6: Final answer
    x = 122.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.