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Finding the Fourth Proportional to 216.26, 324.29 and 71.99

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Solution

The fourth proportional to 216.26, 324.29 and 71.99 is: 107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.26 : 324.29 = 71.99 : x
  2. Step 2: Convert to fraction form
    216.26/324.29 = 71.99/x
  3. Step 3: Cross multiply
    216.26x = 324.29 × 71.99
  4. Step 4: Simplify right side
    216.26x = 23,344.02
  5. Step 5: Solve for x
    x = 23,344.02/216.26
  6. Step 6: Final answer
    x = 107.95

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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.