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Finding the Fourth Proportional to 108.25, 161.97 and 67.48

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Solution

The fourth proportional to 108.25, 161.97 and 67.48 is: 100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.25 : 161.97 = 67.48 : x
  2. Step 2: Convert to fraction form
    108.25/161.97 = 67.48/x
  3. Step 3: Cross multiply
    108.25x = 161.97 × 67.48
  4. Step 4: Simplify right side
    108.25x = 10,929.74
  5. Step 5: Solve for x
    x = 10,929.74/108.25
  6. Step 6: Final answer
    x = 100.97

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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.