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Finding the Fourth Proportional to 168.36, 232.30 and 94.66

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Solution

The fourth proportional to 168.36, 232.30 and 94.66 is: 130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.36 : 232.30 = 94.66 : x
  2. Step 2: Convert to fraction form
    168.36/232.30 = 94.66/x
  3. Step 3: Cross multiply
    168.36x = 232.30 × 94.66
  4. Step 4: Simplify right side
    168.36x = 21,989.04
  5. Step 5: Solve for x
    x = 21,989.04/168.36
  6. Step 6: Final answer
    x = 130.61

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Why These Related Problems?

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