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Finding the Fourth Proportional to 28.06, 42 and 27.68

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Solution

The fourth proportional to 28.06, 42 and 27.68 is: 41.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.06 : 42 = 27.68 : x
  2. Step 2: Convert to fraction form
    28.06/42 = 27.68/x
  3. Step 3: Cross multiply
    28.06x = 42 × 27.68
  4. Step 4: Simplify right side
    28.06x = 1,162.35
  5. Step 5: Solve for x
    x = 1,162.35/28.06
  6. Step 6: Final answer
    x = 41.43

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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.