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Finding the Fourth Proportional to 217.24, 325.98 and 109.12

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Solution

The fourth proportional to 217.24, 325.98 and 109.12 is: 163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.24 : 325.98 = 109.12 : x
  2. Step 2: Convert to fraction form
    217.24/325.98 = 109.12/x
  3. Step 3: Cross multiply
    217.24x = 325.98 × 109.12
  4. Step 4: Simplify right side
    217.24x = 35,570.94
  5. Step 5: Solve for x
    x = 35,570.94/217.24
  6. Step 6: Final answer
    x = 163.74

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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.