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Finding the Fourth Proportional to 112.70, 167.95 and 110.54

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Solution

The fourth proportional to 112.70, 167.95 and 110.54 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.70 : 167.95 = 110.54 : x
  2. Step 2: Convert to fraction form
    112.70/167.95 = 110.54/x
  3. Step 3: Cross multiply
    112.70x = 167.95 × 110.54
  4. Step 4: Simplify right side
    112.70x = 18,565.19
  5. Step 5: Solve for x
    x = 18,565.19/112.70
  6. Step 6: Final answer
    x = 164.73

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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.