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Finding the Fourth Proportional to 159.27, 238.94 and 67.96

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Solution

The fourth proportional to 159.27, 238.94 and 67.96 is: 101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.27 : 238.94 = 67.96 : x
  2. Step 2: Convert to fraction form
    159.27/238.94 = 67.96/x
  3. Step 3: Cross multiply
    159.27x = 238.94 × 67.96
  4. Step 4: Simplify right side
    159.27x = 16,238.36
  5. Step 5: Solve for x
    x = 16,238.36/159.27
  6. Step 6: Final answer
    x = 101.95

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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.