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Finding the Fourth Proportional to 108.04, 161.96 and 75.44

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Solution

The fourth proportional to 108.04, 161.96 and 75.44 is: 113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.04 : 161.96 = 75.44 : x
  2. Step 2: Convert to fraction form
    108.04/161.96 = 75.44/x
  3. Step 3: Cross multiply
    108.04x = 161.96 × 75.44
  4. Step 4: Simplify right side
    108.04x = 12,218.26
  5. Step 5: Solve for x
    x = 12,218.26/108.04
  6. Step 6: Final answer
    x = 113.10

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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.