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Finding the Fourth Proportional to 110.97, 167.47 and 105.10

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Solution

The fourth proportional to 110.97, 167.47 and 105.10 is: 158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.97 : 167.47 = 105.10 : x
  2. Step 2: Convert to fraction form
    110.97/167.47 = 105.10/x
  3. Step 3: Cross multiply
    110.97x = 167.47 × 105.10
  4. Step 4: Simplify right side
    110.97x = 17,600.42
  5. Step 5: Solve for x
    x = 17,600.42/110.97
  6. Step 6: Final answer
    x = 158.61

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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.