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Finding the Fourth Proportional to 33.15, 49.66 and 27.76

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Solution

The fourth proportional to 33.15, 49.66 and 27.76 is: 41.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.15 : 49.66 = 27.76 : x
  2. Step 2: Convert to fraction form
    33.15/49.66 = 27.76/x
  3. Step 3: Cross multiply
    33.15x = 49.66 × 27.76
  4. Step 4: Simplify right side
    33.15x = 1,378.56
  5. Step 5: Solve for x
    x = 1,378.56/33.15
  6. Step 6: Final answer
    x = 41.59

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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.