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Finding the Fourth Proportional to 33.80, 50.67 and 13.23

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Solution

The fourth proportional to 33.80, 50.67 and 13.23 is: 19.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.80 : 50.67 = 13.23 : x
  2. Step 2: Convert to fraction form
    33.80/50.67 = 13.23/x
  3. Step 3: Cross multiply
    33.80x = 50.67 × 13.23
  4. Step 4: Simplify right side
    33.80x = 670.36
  5. Step 5: Solve for x
    x = 670.36/33.80
  6. Step 6: Final answer
    x = 19.84

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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.