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Finding the Fourth Proportional to 33.06, 49.53 and 20.24

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Solution

The fourth proportional to 33.06, 49.53 and 20.24 is: 30.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.06 : 49.53 = 20.24 : x
  2. Step 2: Convert to fraction form
    33.06/49.53 = 20.24/x
  3. Step 3: Cross multiply
    33.06x = 49.53 × 20.24
  4. Step 4: Simplify right side
    33.06x = 1,002.24
  5. Step 5: Solve for x
    x = 1,002.24/33.06
  6. Step 6: Final answer
    x = 30.32

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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.