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Finding the Fourth Proportional to 108.72, 161.97 and 101.73

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Solution

The fourth proportional to 108.72, 161.97 and 101.73 is: 151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.72 : 161.97 = 101.73 : x
  2. Step 2: Convert to fraction form
    108.72/161.97 = 101.73/x
  3. Step 3: Cross multiply
    108.72x = 161.97 × 101.73
  4. Step 4: Simplify right side
    108.72x = 16,477.21
  5. Step 5: Solve for x
    x = 16,477.21/108.72
  6. Step 6: Final answer
    x = 151.56

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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.