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Finding the Fourth Proportional to 108.08, 161.88 and 71.96

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Solution

The fourth proportional to 108.08, 161.88 and 71.96 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.08 : 161.88 = 71.96 : x
  2. Step 2: Convert to fraction form
    108.08/161.88 = 71.96/x
  3. Step 3: Cross multiply
    108.08x = 161.88 × 71.96
  4. Step 4: Simplify right side
    108.08x = 11,648.88
  5. Step 5: Solve for x
    x = 11,648.88/108.08
  6. Step 6: Final answer
    x = 107.78

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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.