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Finding the Fourth Proportional to 33.07, 49.56 and 13.82

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Solution

The fourth proportional to 33.07, 49.56 and 13.82 is: 20.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.07 : 49.56 = 13.82 : x
  2. Step 2: Convert to fraction form
    33.07/49.56 = 13.82/x
  3. Step 3: Cross multiply
    33.07x = 49.56 × 13.82
  4. Step 4: Simplify right side
    33.07x = 684.77
  5. Step 5: Solve for x
    x = 684.77/33.07
  6. Step 6: Final answer
    x = 20.71

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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.