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Finding the Fourth Proportional to 168.49, 252.45 and 107.50

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Solution

The fourth proportional to 168.49, 252.45 and 107.50 is: 161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 252.45 = 107.50 : x
  2. Step 2: Convert to fraction form
    168.49/252.45 = 107.50/x
  3. Step 3: Cross multiply
    168.49x = 252.45 × 107.50
  4. Step 4: Simplify right side
    168.49x = 27,138.38
  5. Step 5: Solve for x
    x = 27,138.38/168.49
  6. Step 6: Final answer
    x = 161.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.