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Finding the Fourth Proportional to 168.91, 233.07 and 106.63

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Solution

The fourth proportional to 168.91, 233.07 and 106.63 is: 147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.91 : 233.07 = 106.63 : x
  2. Step 2: Convert to fraction form
    168.91/233.07 = 106.63/x
  3. Step 3: Cross multiply
    168.91x = 233.07 × 106.63
  4. Step 4: Simplify right side
    168.91x = 24,851.27
  5. Step 5: Solve for x
    x = 24,851.27/168.91
  6. Step 6: Final answer
    x = 147.13

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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.