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Finding the Fourth Proportional to 168.35, 232.34 and 94.66

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Solution

The fourth proportional to 168.35, 232.34 and 94.66 is: 130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.35 : 232.34 = 94.66 : x
  2. Step 2: Convert to fraction form
    168.35/232.34 = 94.66/x
  3. Step 3: Cross multiply
    168.35x = 232.34 × 94.66
  4. Step 4: Simplify right side
    168.35x = 21,992.25
  5. Step 5: Solve for x
    x = 21,992.25/168.35
  6. Step 6: Final answer
    x = 130.64

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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.