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Finding the Fourth Proportional to 215.91, 323.82 and 71.59

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Solution

The fourth proportional to 215.91, 323.82 and 71.59 is: 107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.91 : 323.82 = 71.59 : x
  2. Step 2: Convert to fraction form
    215.91/323.82 = 71.59/x
  3. Step 3: Cross multiply
    215.91x = 323.82 × 71.59
  4. Step 4: Simplify right side
    215.91x = 23,182.27
  5. Step 5: Solve for x
    x = 23,182.27/215.91
  6. Step 6: Final answer
    x = 107.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.