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Finding the Fourth Proportional to 28.28, 39 and 22.52

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Solution

The fourth proportional to 28.28, 39 and 22.52 is: 31.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.28 : 39 = 22.52 : x
  2. Step 2: Convert to fraction form
    28.28/39 = 22.52/x
  3. Step 3: Cross multiply
    28.28x = 39 × 22.52
  4. Step 4: Simplify right side
    28.28x = 878.28
  5. Step 5: Solve for x
    x = 878.28/28.28
  6. Step 6: Final answer
    x = 31.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.