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Finding the Fourth Proportional to 51.19, 76.82 and 22.69

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Solution

The fourth proportional to 51.19, 76.82 and 22.69 is: 34.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 76.82 = 22.69 : x
  2. Step 2: Convert to fraction form
    51.19/76.82 = 22.69/x
  3. Step 3: Cross multiply
    51.19x = 76.82 × 22.69
  4. Step 4: Simplify right side
    51.19x = 1,743.05
  5. Step 5: Solve for x
    x = 1,743.05/51.19
  6. Step 6: Final answer
    x = 34.05

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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.