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Finding the Fourth Proportional to 33.18, 49.82 and 21.03

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Solution

The fourth proportional to 33.18, 49.82 and 21.03 is: 31.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.18 : 49.82 = 21.03 : x
  2. Step 2: Convert to fraction form
    33.18/49.82 = 21.03/x
  3. Step 3: Cross multiply
    33.18x = 49.82 × 21.03
  4. Step 4: Simplify right side
    33.18x = 1,047.42
  5. Step 5: Solve for x
    x = 1,047.42/33.18
  6. Step 6: Final answer
    x = 31.57

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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.