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Finding the Fourth Proportional to 168.64, 253.01 and 86.39

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Solution

The fourth proportional to 168.64, 253.01 and 86.39 is: 129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.64 : 253.01 = 86.39 : x
  2. Step 2: Convert to fraction form
    168.64/253.01 = 86.39/x
  3. Step 3: Cross multiply
    168.64x = 253.01 × 86.39
  4. Step 4: Simplify right side
    168.64x = 21,857.73
  5. Step 5: Solve for x
    x = 21,857.73/168.64
  6. Step 6: Final answer
    x = 129.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.