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Finding the Fourth Proportional to 216.11, 324.21 and 71.82

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Solution

The fourth proportional to 216.11, 324.21 and 71.82 is: 107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.11 : 324.21 = 71.82 : x
  2. Step 2: Convert to fraction form
    216.11/324.21 = 71.82/x
  3. Step 3: Cross multiply
    216.11x = 324.21 × 71.82
  4. Step 4: Simplify right side
    216.11x = 23,284.76
  5. Step 5: Solve for x
    x = 23,284.76/216.11
  6. Step 6: Final answer
    x = 107.75

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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.