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Finding the Fourth Proportional to 71.57, 107.36 and 22.82

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Solution

The fourth proportional to 71.57, 107.36 and 22.82 is: 34.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.57 : 107.36 = 22.82 : x
  2. Step 2: Convert to fraction form
    71.57/107.36 = 22.82/x
  3. Step 3: Cross multiply
    71.57x = 107.36 × 22.82
  4. Step 4: Simplify right side
    71.57x = 2,449.30
  5. Step 5: Solve for x
    x = 2,449.30/71.57
  6. Step 6: Final answer
    x = 34.22

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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.