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Finding the Fourth Proportional to 108.09, 161.91 and 53.91

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Solution

The fourth proportional to 108.09, 161.91 and 53.91 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 161.91 = 53.91 : x
  2. Step 2: Convert to fraction form
    108.09/161.91 = 53.91/x
  3. Step 3: Cross multiply
    108.09x = 161.91 × 53.91
  4. Step 4: Simplify right side
    108.09x = 8,728.57
  5. Step 5: Solve for x
    x = 8,728.57/108.09
  6. Step 6: Final answer
    x = 80.75

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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.