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Finding the Fourth Proportional to 168.92, 233.09 and 106.77

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Solution

The fourth proportional to 168.92, 233.09 and 106.77 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.92 : 233.09 = 106.77 : x
  2. Step 2: Convert to fraction form
    168.92/233.09 = 106.77/x
  3. Step 3: Cross multiply
    168.92x = 233.09 × 106.77
  4. Step 4: Simplify right side
    168.92x = 24,886.60
  5. Step 5: Solve for x
    x = 24,886.60/168.92
  6. Step 6: Final answer
    x = 147.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.