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Finding the Fourth Proportional to 216.23, 324.42 and 71.97

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Solution

The fourth proportional to 216.23, 324.42 and 71.97 is: 107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.23 : 324.42 = 71.97 : x
  2. Step 2: Convert to fraction form
    216.23/324.42 = 71.97/x
  3. Step 3: Cross multiply
    216.23x = 324.42 × 71.97
  4. Step 4: Simplify right side
    216.23x = 23,348.15
  5. Step 5: Solve for x
    x = 23,348.15/216.23
  6. Step 6: Final answer
    x = 107.98

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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.