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Finding the Fourth Proportional to 168.35, 232.29 and 94.64

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Solution

The fourth proportional to 168.35, 232.29 and 94.64 is: 130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.35 : 232.29 = 94.64 : x
  2. Step 2: Convert to fraction form
    168.35/232.29 = 94.64/x
  3. Step 3: Cross multiply
    168.35x = 232.29 × 94.64
  4. Step 4: Simplify right side
    168.35x = 21,982.76
  5. Step 5: Solve for x
    x = 21,982.76/168.35
  6. Step 6: Final answer
    x = 130.58

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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.