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Finding the Fourth Proportional to 33.50, 46.24 and 21.24

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Solution

The fourth proportional to 33.50, 46.24 and 21.24 is: 29.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.50 : 46.24 = 21.24 : x
  2. Step 2: Convert to fraction form
    33.50/46.24 = 21.24/x
  3. Step 3: Cross multiply
    33.50x = 46.24 × 21.24
  4. Step 4: Simplify right side
    33.50x = 982.14
  5. Step 5: Solve for x
    x = 982.14/33.50
  6. Step 6: Final answer
    x = 29.32

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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.