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Finding the Fourth Proportional to 28.06, 41.85 and 27.90

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Solution

The fourth proportional to 28.06, 41.85 and 27.90 is: 41.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.06 : 41.85 = 27.90 : x
  2. Step 2: Convert to fraction form
    28.06/41.85 = 27.90/x
  3. Step 3: Cross multiply
    28.06x = 41.85 × 27.90
  4. Step 4: Simplify right side
    28.06x = 1,167.62
  5. Step 5: Solve for x
    x = 1,167.62/28.06
  6. Step 6: Final answer
    x = 41.61

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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.