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Finding the Fourth Proportional to 168.81, 232.62 and 122.02

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Solution

The fourth proportional to 168.81, 232.62 and 122.02 is: 168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.81 : 232.62 = 122.02 : x
  2. Step 2: Convert to fraction form
    168.81/232.62 = 122.02/x
  3. Step 3: Cross multiply
    168.81x = 232.62 × 122.02
  4. Step 4: Simplify right side
    168.81x = 28,384.29
  5. Step 5: Solve for x
    x = 28,384.29/168.81
  6. Step 6: Final answer
    x = 168.14

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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.