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Finding the Fourth Proportional to 28.28, 42.36 and 23.78

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Solution

The fourth proportional to 28.28, 42.36 and 23.78 is: 35.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.28 : 42.36 = 23.78 : x
  2. Step 2: Convert to fraction form
    28.28/42.36 = 23.78/x
  3. Step 3: Cross multiply
    28.28x = 42.36 × 23.78
  4. Step 4: Simplify right side
    28.28x = 1,007.32
  5. Step 5: Solve for x
    x = 1,007.32/28.28
  6. Step 6: Final answer
    x = 35.62

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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.