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Finding the Fourth Proportional to 33.96, 51 and 28.28

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Solution

The fourth proportional to 33.96, 51 and 28.28 is: 42.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.96 : 51 = 28.28 : x
  2. Step 2: Convert to fraction form
    33.96/51 = 28.28/x
  3. Step 3: Cross multiply
    33.96x = 51 × 28.28
  4. Step 4: Simplify right side
    33.96x = 1,442.28
  5. Step 5: Solve for x
    x = 1,442.28/33.96
  6. Step 6: Final answer
    x = 42.47

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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.