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Finding the Fourth Proportional to 168.91, 233.10 and 95.23

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Solution

The fourth proportional to 168.91, 233.10 and 95.23 is: 131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.91 : 233.10 = 95.23 : x
  2. Step 2: Convert to fraction form
    168.91/233.10 = 95.23/x
  3. Step 3: Cross multiply
    168.91x = 233.10 × 95.23
  4. Step 4: Simplify right side
    168.91x = 22,196.95
  5. Step 5: Solve for x
    x = 22,196.95/168.91
  6. Step 6: Final answer
    x = 131.42

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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.