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Finding the Fourth Proportional to 112.34, 168.78 and 105.86

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Solution

The fourth proportional to 112.34, 168.78 and 105.86 is: 159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.34 : 168.78 = 105.86 : x
  2. Step 2: Convert to fraction form
    112.34/168.78 = 105.86/x
  3. Step 3: Cross multiply
    112.34x = 168.78 × 105.86
  4. Step 4: Simplify right side
    112.34x = 17,867.05
  5. Step 5: Solve for x
    x = 17,867.05/112.34
  6. Step 6: Final answer
    x = 159.04

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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.