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Finding the Fourth Proportional to 112.53, 167.98 and 110.91

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Solution

The fourth proportional to 112.53, 167.98 and 110.91 is: 165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.53 : 167.98 = 110.91 : x
  2. Step 2: Convert to fraction form
    112.53/167.98 = 110.91/x
  3. Step 3: Cross multiply
    112.53x = 167.98 × 110.91
  4. Step 4: Simplify right side
    112.53x = 18,630.38
  5. Step 5: Solve for x
    x = 18,630.38/112.53
  6. Step 6: Final answer
    x = 165.56

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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.