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Finding the Fourth Proportional to 112.49, 167.69 and 110.73

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Solution

The fourth proportional to 112.49, 167.69 and 110.73 is: 165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.49 : 167.69 = 110.73 : x
  2. Step 2: Convert to fraction form
    112.49/167.69 = 110.73/x
  3. Step 3: Cross multiply
    112.49x = 167.69 × 110.73
  4. Step 4: Simplify right side
    112.49x = 18,568.18
  5. Step 5: Solve for x
    x = 18,568.18/112.49
  6. Step 6: Final answer
    x = 165.07

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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.