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Finding the Fourth Proportional to 108.27, 161.96 and 82.40

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Solution

The fourth proportional to 108.27, 161.96 and 82.40 is: 123.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.27 : 161.96 = 82.40 : x
  2. Step 2: Convert to fraction form
    108.27/161.96 = 82.40/x
  3. Step 3: Cross multiply
    108.27x = 161.96 × 82.40
  4. Step 4: Simplify right side
    108.27x = 13,344.28
  5. Step 5: Solve for x
    x = 13,344.28/108.27
  6. Step 6: Final answer
    x = 123.25

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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.