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Finding the Fourth Proportional to 168.96, 252.90 and 120.63

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Solution

The fourth proportional to 168.96, 252.90 and 120.63 is: 180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.96 : 252.90 = 120.63 : x
  2. Step 2: Convert to fraction form
    168.96/252.90 = 120.63/x
  3. Step 3: Cross multiply
    168.96x = 252.90 × 120.63
  4. Step 4: Simplify right side
    168.96x = 30,507.33
  5. Step 5: Solve for x
    x = 30,507.33/168.96
  6. Step 6: Final answer
    x = 180.56

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