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Finding the Fourth Proportional to 71.82, 107.46 and 51.44

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Solution

The fourth proportional to 71.82, 107.46 and 51.44 is: 76.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.82 : 107.46 = 51.44 : x
  2. Step 2: Convert to fraction form
    71.82/107.46 = 51.44/x
  3. Step 3: Cross multiply
    71.82x = 107.46 × 51.44
  4. Step 4: Simplify right side
    71.82x = 5,527.21
  5. Step 5: Solve for x
    x = 5,527.21/71.82
  6. Step 6: Final answer
    x = 76.96

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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.