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Finding the Fourth Proportional to 28.26, 38.75 and 28.23

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Solution

The fourth proportional to 28.26, 38.75 and 28.23 is: 38.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.26 : 38.75 = 28.23 : x
  2. Step 2: Convert to fraction form
    28.26/38.75 = 28.23/x
  3. Step 3: Cross multiply
    28.26x = 38.75 × 28.23
  4. Step 4: Simplify right side
    28.26x = 1,093.77
  5. Step 5: Solve for x
    x = 1,093.77/28.26
  6. Step 6: Final answer
    x = 38.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.