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Finding the Fourth Proportional to 168.46, 232.77 and 121.99

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Solution

The fourth proportional to 168.46, 232.77 and 121.99 is: 168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.46 : 232.77 = 121.99 : x
  2. Step 2: Convert to fraction form
    168.46/232.77 = 121.99/x
  3. Step 3: Cross multiply
    168.46x = 232.77 × 121.99
  4. Step 4: Simplify right side
    168.46x = 28,395.61
  5. Step 5: Solve for x
    x = 28,395.61/168.46
  6. Step 6: Final answer
    x = 168.56

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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.