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Finding the Fourth Proportional to 168.58, 232.45 and 137.44

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Solution

The fourth proportional to 168.58, 232.45 and 137.44 is: 189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.58 : 232.45 = 137.44 : x
  2. Step 2: Convert to fraction form
    168.58/232.45 = 137.44/x
  3. Step 3: Cross multiply
    168.58x = 232.45 × 137.44
  4. Step 4: Simplify right side
    168.58x = 31,947.93
  5. Step 5: Solve for x
    x = 31,947.93/168.58
  6. Step 6: Final answer
    x = 189.51

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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.