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Finding the Fourth Proportional to 33.90, 46.74 and 24.22

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Solution

The fourth proportional to 33.90, 46.74 and 24.22 is: 33.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.90 : 46.74 = 24.22 : x
  2. Step 2: Convert to fraction form
    33.90/46.74 = 24.22/x
  3. Step 3: Cross multiply
    33.90x = 46.74 × 24.22
  4. Step 4: Simplify right side
    33.90x = 1,132.04
  5. Step 5: Solve for x
    x = 1,132.04/33.90
  6. Step 6: Final answer
    x = 33.39

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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.