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Finding the Fourth Proportional to 216.09, 324.15 and 107.85

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Solution

The fourth proportional to 216.09, 324.15 and 107.85 is: 161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.09 : 324.15 = 107.85 : x
  2. Step 2: Convert to fraction form
    216.09/324.15 = 107.85/x
  3. Step 3: Cross multiply
    216.09x = 324.15 × 107.85
  4. Step 4: Simplify right side
    216.09x = 34,957.96
  5. Step 5: Solve for x
    x = 34,957.96/216.09
  6. Step 6: Final answer
    x = 161.77

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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.