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Finding the Fourth Proportional to 108.46, 161.92 and 95.41

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Solution

The fourth proportional to 108.46, 161.92 and 95.41 is: 142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.46 : 161.92 = 95.41 : x
  2. Step 2: Convert to fraction form
    108.46/161.92 = 95.41/x
  3. Step 3: Cross multiply
    108.46x = 161.92 × 95.41
  4. Step 4: Simplify right side
    108.46x = 15,448.79
  5. Step 5: Solve for x
    x = 15,448.79/108.46
  6. Step 6: Final answer
    x = 142.44

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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.