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Finding the Fourth Proportional to 28.34, 42.25 and 28.27

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Solution

The fourth proportional to 28.34, 42.25 and 28.27 is: 42.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 42.25 = 28.27 : x
  2. Step 2: Convert to fraction form
    28.34/42.25 = 28.27/x
  3. Step 3: Cross multiply
    28.34x = 42.25 × 28.27
  4. Step 4: Simplify right side
    28.34x = 1,194.44
  5. Step 5: Solve for x
    x = 1,194.44/28.34
  6. Step 6: Final answer
    x = 42.15

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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.