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Finding the Fourth Proportional to 33.21, 45.85 and 21.56

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Solution

The fourth proportional to 33.21, 45.85 and 21.56 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.21 : 45.85 = 21.56 : x
  2. Step 2: Convert to fraction form
    33.21/45.85 = 21.56/x
  3. Step 3: Cross multiply
    33.21x = 45.85 × 21.56
  4. Step 4: Simplify right side
    33.21x = 988.53
  5. Step 5: Solve for x
    x = 988.53/33.21
  6. Step 6: Final answer
    x = 29.77

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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.