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Finding the Fourth Proportional to 33.04, 49.56 and 13.78

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Solution

The fourth proportional to 33.04, 49.56 and 13.78 is: 20.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.04 : 49.56 = 13.78 : x
  2. Step 2: Convert to fraction form
    33.04/49.56 = 13.78/x
  3. Step 3: Cross multiply
    33.04x = 49.56 × 13.78
  4. Step 4: Simplify right side
    33.04x = 682.94
  5. Step 5: Solve for x
    x = 682.94/33.04
  6. Step 6: Final answer
    x = 20.67

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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.