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Finding the Fourth Proportional to 33.02, 49.49 and 27.05

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Solution

The fourth proportional to 33.02, 49.49 and 27.05 is: 40.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.02 : 49.49 = 27.05 : x
  2. Step 2: Convert to fraction form
    33.02/49.49 = 27.05/x
  3. Step 3: Cross multiply
    33.02x = 49.49 × 27.05
  4. Step 4: Simplify right side
    33.02x = 1,338.63
  5. Step 5: Solve for x
    x = 1,338.63/33.02
  6. Step 6: Final answer
    x = 40.53

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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.