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Finding the Fourth Proportional to 112.85, 168.30 and 110.69

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Solution

The fourth proportional to 112.85, 168.30 and 110.69 is: 165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.85 : 168.30 = 110.69 : x
  2. Step 2: Convert to fraction form
    112.85/168.30 = 110.69/x
  3. Step 3: Cross multiply
    112.85x = 168.30 × 110.69
  4. Step 4: Simplify right side
    112.85x = 18,628.57
  5. Step 5: Solve for x
    x = 18,628.57/112.85
  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.