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Finding the Fourth Proportional to 168.02, 251.73 and 113.05

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Solution

The fourth proportional to 168.02, 251.73 and 113.05 is: 169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.02 : 251.73 = 113.05 : x
  2. Step 2: Convert to fraction form
    168.02/251.73 = 113.05/x
  3. Step 3: Cross multiply
    168.02x = 251.73 × 113.05
  4. Step 4: Simplify right side
    168.02x = 28,458.39
  5. Step 5: Solve for x
    x = 28,458.39/168.02
  6. Step 6: Final answer
    x = 169.38

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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.