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Finding the Fourth Proportional to 112.91, 168.21 and 105.92

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Solution

The fourth proportional to 112.91, 168.21 and 105.92 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.91 : 168.21 = 105.92 : x
  2. Step 2: Convert to fraction form
    112.91/168.21 = 105.92/x
  3. Step 3: Cross multiply
    112.91x = 168.21 × 105.92
  4. Step 4: Simplify right side
    112.91x = 17,815.96
  5. Step 5: Solve for x
    x = 17,815.96/112.91
  6. Step 6: Final answer
    x = 157.80

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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.