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Finding the Fourth Proportional to 28.09, 41.94 and 23.78

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Solution

The fourth proportional to 28.09, 41.94 and 23.78 is: 35.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.09 : 41.94 = 23.78 : x
  2. Step 2: Convert to fraction form
    28.09/41.94 = 23.78/x
  3. Step 3: Cross multiply
    28.09x = 41.94 × 23.78
  4. Step 4: Simplify right side
    28.09x = 997.35
  5. Step 5: Solve for x
    x = 997.35/28.09
  6. Step 6: Final answer
    x = 35.50

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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.