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Finding the Fourth Proportional to 28.44, 42.45 and 27.42

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Solution

The fourth proportional to 28.44, 42.45 and 27.42 is: 40.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.44 : 42.45 = 27.42 : x
  2. Step 2: Convert to fraction form
    28.44/42.45 = 27.42/x
  3. Step 3: Cross multiply
    28.44x = 42.45 × 27.42
  4. Step 4: Simplify right side
    28.44x = 1,163.98
  5. Step 5: Solve for x
    x = 1,163.98/28.44
  6. Step 6: Final answer
    x = 40.93

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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.