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Finding the Fourth Proportional to 34.22, 51.26 and 33.81

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Solution

The fourth proportional to 34.22, 51.26 and 33.81 is: 50.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.22 : 51.26 = 33.81 : x
  2. Step 2: Convert to fraction form
    34.22/51.26 = 33.81/x
  3. Step 3: Cross multiply
    34.22x = 51.26 × 33.81
  4. Step 4: Simplify right side
    34.22x = 1,732.93
  5. Step 5: Solve for x
    x = 1,732.93/34.22
  6. Step 6: Final answer
    x = 50.65

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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.