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Finding the Fourth Proportional to 216.21, 324.26 and 71.91

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Solution

The fourth proportional to 216.21, 324.26 and 71.91 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 324.26 = 71.91 : x
  2. Step 2: Convert to fraction form
    216.21/324.26 = 71.91/x
  3. Step 3: Cross multiply
    216.21x = 324.26 × 71.91
  4. Step 4: Simplify right side
    216.21x = 23,317.18
  5. Step 5: Solve for x
    x = 23,317.18/216.21
  6. Step 6: Final answer
    x = 107.85

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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.