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Finding the Fourth Proportional to 33.21, 49.76 and 15.15

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Solution

The fourth proportional to 33.21, 49.76 and 15.15 is: 22.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.21 : 49.76 = 15.15 : x
  2. Step 2: Convert to fraction form
    33.21/49.76 = 15.15/x
  3. Step 3: Cross multiply
    33.21x = 49.76 × 15.15
  4. Step 4: Simplify right side
    33.21x = 754.03
  5. Step 5: Solve for x
    x = 754.03/33.21
  6. Step 6: Final answer
    x = 22.70

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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.