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Finding the Fourth Proportional to 168.17, 232.18 and 121.50

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Solution

The fourth proportional to 168.17, 232.18 and 121.50 is: 167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.17 : 232.18 = 121.50 : x
  2. Step 2: Convert to fraction form
    168.17/232.18 = 121.50/x
  3. Step 3: Cross multiply
    168.17x = 232.18 × 121.50
  4. Step 4: Simplify right side
    168.17x = 28,208.70
  5. Step 5: Solve for x
    x = 28,208.70/168.17
  6. Step 6: Final answer
    x = 167.74

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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.