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Finding the Fourth Proportional to 33, 49.49 and 13.76

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Solution

The fourth proportional to 33, 49.49 and 13.76 is: 20.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33 : 49.49 = 13.76 : x
  2. Step 2: Convert to fraction form
    33/49.49 = 13.76/x
  3. Step 3: Cross multiply
    33x = 49.49 × 13.76
  4. Step 4: Simplify right side
    33x = 681.14
  5. Step 5: Solve for x
    x = 681.14/33
  6. Step 6: Final answer
    x = 20.64

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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.