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Finding the Fourth Proportional to 168.21, 232.09 and 94.50

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Solution

The fourth proportional to 168.21, 232.09 and 94.50 is: 130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.21 : 232.09 = 94.50 : x
  2. Step 2: Convert to fraction form
    168.21/232.09 = 94.50/x
  3. Step 3: Cross multiply
    168.21x = 232.09 × 94.50
  4. Step 4: Simplify right side
    168.21x = 21,932.51
  5. Step 5: Solve for x
    x = 21,932.51/168.21
  6. Step 6: Final answer
    x = 130.39

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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.