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Finding the Fourth Proportional to 28.24, 42.17 and 25.36

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Solution

The fourth proportional to 28.24, 42.17 and 25.36 is: 37.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.24 : 42.17 = 25.36 : x
  2. Step 2: Convert to fraction form
    28.24/42.17 = 25.36/x
  3. Step 3: Cross multiply
    28.24x = 42.17 × 25.36
  4. Step 4: Simplify right side
    28.24x = 1,069.43
  5. Step 5: Solve for x
    x = 1,069.43/28.24
  6. Step 6: Final answer
    x = 37.87

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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.