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Finding the Fourth Proportional to 168.35, 231.99 and 121.64

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Solution

The fourth proportional to 168.35, 231.99 and 121.64 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.35 : 231.99 = 121.64 : x
  2. Step 2: Convert to fraction form
    168.35/231.99 = 121.64/x
  3. Step 3: Cross multiply
    168.35x = 231.99 × 121.64
  4. Step 4: Simplify right side
    168.35x = 28,218.10
  5. Step 5: Solve for x
    x = 28,218.10/168.35
  6. Step 6: Final answer
    x = 167.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.