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Finding the Fourth Proportional to 108.10, 161.33 and 98.92

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Solution

The fourth proportional to 108.10, 161.33 and 98.92 is: 147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.10 : 161.33 = 98.92 : x
  2. Step 2: Convert to fraction form
    108.10/161.33 = 98.92/x
  3. Step 3: Cross multiply
    108.10x = 161.33 × 98.92
  4. Step 4: Simplify right side
    108.10x = 15,957.96
  5. Step 5: Solve for x
    x = 15,957.96/108.10
  6. Step 6: Final answer
    x = 147.63

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