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Finding the Fourth Proportional to 33.69, 46.50 and 22.02

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Solution

The fourth proportional to 33.69, 46.50 and 22.02 is: 30.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.69 : 46.50 = 22.02 : x
  2. Step 2: Convert to fraction form
    33.69/46.50 = 22.02/x
  3. Step 3: Cross multiply
    33.69x = 46.50 × 22.02
  4. Step 4: Simplify right side
    33.69x = 1,023.93
  5. Step 5: Solve for x
    x = 1,023.93/33.69
  6. Step 6: Final answer
    x = 30.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.