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Finding the Fourth Proportional to 33.06, 49.37 and 27.99

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Solution

The fourth proportional to 33.06, 49.37 and 27.99 is: 41.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.06 : 49.37 = 27.99 : x
  2. Step 2: Convert to fraction form
    33.06/49.37 = 27.99/x
  3. Step 3: Cross multiply
    33.06x = 49.37 × 27.99
  4. Step 4: Simplify right side
    33.06x = 1,381.87
  5. Step 5: Solve for x
    x = 1,381.87/33.06
  6. Step 6: Final answer
    x = 41.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.