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Finding the Fourth Proportional to 106.92, 161.17 and 105.30

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Solution

The fourth proportional to 106.92, 161.17 and 105.30 is: 158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.92 : 161.17 = 105.30 : x
  2. Step 2: Convert to fraction form
    106.92/161.17 = 105.30/x
  3. Step 3: Cross multiply
    106.92x = 161.17 × 105.30
  4. Step 4: Simplify right side
    106.92x = 16,971.20
  5. Step 5: Solve for x
    x = 16,971.20/106.92
  6. Step 6: Final answer
    x = 158.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.