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Finding the Fourth Proportional to 108.08, 161.66 and 87.42

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Solution

The fourth proportional to 108.08, 161.66 and 87.42 is: 130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.08 : 161.66 = 87.42 : x
  2. Step 2: Convert to fraction form
    108.08/161.66 = 87.42/x
  3. Step 3: Cross multiply
    108.08x = 161.66 × 87.42
  4. Step 4: Simplify right side
    108.08x = 14,131.88
  5. Step 5: Solve for x
    x = 14,131.88/108.08
  6. Step 6: Final answer
    x = 130.76

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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.