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Finding the Fourth Proportional to 112.88, 168.29 and 105.99

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Solution

The fourth proportional to 112.88, 168.29 and 105.99 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.88 : 168.29 = 105.99 : x
  2. Step 2: Convert to fraction form
    112.88/168.29 = 105.99/x
  3. Step 3: Cross multiply
    112.88x = 168.29 × 105.99
  4. Step 4: Simplify right side
    112.88x = 17,836.53
  5. Step 5: Solve for x
    x = 17,836.53/112.88
  6. Step 6: Final answer
    x = 158.02

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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.