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Finding the Fourth Proportional to 108.54, 161.87 and 104.49

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Solution

The fourth proportional to 108.54, 161.87 and 104.49 is: 155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.54 : 161.87 = 104.49 : x
  2. Step 2: Convert to fraction form
    108.54/161.87 = 104.49/x
  3. Step 3: Cross multiply
    108.54x = 161.87 × 104.49
  4. Step 4: Simplify right side
    108.54x = 16,913.27
  5. Step 5: Solve for x
    x = 16,913.27/108.54
  6. Step 6: Final answer
    x = 155.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.