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Finding the Fourth Proportional to 168.05, 231.89 and 94.37

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Solution

The fourth proportional to 168.05, 231.89 and 94.37 is: 130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.05 : 231.89 = 94.37 : x
  2. Step 2: Convert to fraction form
    168.05/231.89 = 94.37/x
  3. Step 3: Cross multiply
    168.05x = 231.89 × 94.37
  4. Step 4: Simplify right side
    168.05x = 21,881.83
  5. Step 5: Solve for x
    x = 21,881.83/168.05
  6. Step 6: Final answer
    x = 130.21

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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.