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Finding the Fourth Proportional to 108.11, 161.23 and 91.96

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Solution

The fourth proportional to 108.11, 161.23 and 91.96 is: 137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.11 : 161.23 = 91.96 : x
  2. Step 2: Convert to fraction form
    108.11/161.23 = 91.96/x
  3. Step 3: Cross multiply
    108.11x = 161.23 × 91.96
  4. Step 4: Simplify right side
    108.11x = 14,826.71
  5. Step 5: Solve for x
    x = 14,826.71/108.11
  6. Step 6: Final answer
    x = 137.14

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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.