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Finding the Fourth Proportional to 113.14, 168.61 and 109.67

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Solution

The fourth proportional to 113.14, 168.61 and 109.67 is: 163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.14 : 168.61 = 109.67 : x
  2. Step 2: Convert to fraction form
    113.14/168.61 = 109.67/x
  3. Step 3: Cross multiply
    113.14x = 168.61 × 109.67
  4. Step 4: Simplify right side
    113.14x = 18,491.46
  5. Step 5: Solve for x
    x = 18,491.46/113.14
  6. Step 6: Final answer
    x = 163.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.