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Finding the Fourth Proportional to 112.39, 168.68 and 105.71

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Solution

The fourth proportional to 112.39, 168.68 and 105.71 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.39 : 168.68 = 105.71 : x
  2. Step 2: Convert to fraction form
    112.39/168.68 = 105.71/x
  3. Step 3: Cross multiply
    112.39x = 168.68 × 105.71
  4. Step 4: Simplify right side
    112.39x = 17,830.58
  5. Step 5: Solve for x
    x = 17,830.58/112.39
  6. Step 6: Final answer
    x = 158.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.