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Finding the Fourth Proportional to 216.19, 324.22 and 71.88

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Solution

The fourth proportional to 216.19, 324.22 and 71.88 is: 107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.19 : 324.22 = 71.88 : x
  2. Step 2: Convert to fraction form
    216.19/324.22 = 71.88/x
  3. Step 3: Cross multiply
    216.19x = 324.22 × 71.88
  4. Step 4: Simplify right side
    216.19x = 23,304.93
  5. Step 5: Solve for x
    x = 23,304.93/216.19
  6. Step 6: Final answer
    x = 107.80

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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.