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Finding the Fourth Proportional to 112.27, 168.42 and 106.81

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Solution

The fourth proportional to 112.27, 168.42 and 106.81 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.27 : 168.42 = 106.81 : x
  2. Step 2: Convert to fraction form
    112.27/168.42 = 106.81/x
  3. Step 3: Cross multiply
    112.27x = 168.42 × 106.81
  4. Step 4: Simplify right side
    112.27x = 17,988.94
  5. Step 5: Solve for x
    x = 17,988.94/112.27
  6. Step 6: Final answer
    x = 160.23

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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.