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Finding the Fourth Proportional to 108.13, 161.85 and 80.54

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Solution

The fourth proportional to 108.13, 161.85 and 80.54 is: 120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.13 : 161.85 = 80.54 : x
  2. Step 2: Convert to fraction form
    108.13/161.85 = 80.54/x
  3. Step 3: Cross multiply
    108.13x = 161.85 × 80.54
  4. Step 4: Simplify right side
    108.13x = 13,035.51
  5. Step 5: Solve for x
    x = 13,035.51/108.13
  6. Step 6: Final answer
    x = 120.56

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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.