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Finding the Fourth Proportional to 161.66, 222.83 and 109.19

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Solution

The fourth proportional to 161.66, 222.83 and 109.19 is: 150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.66 : 222.83 = 109.19 : x
  2. Step 2: Convert to fraction form
    161.66/222.83 = 109.19/x
  3. Step 3: Cross multiply
    161.66x = 222.83 × 109.19
  4. Step 4: Simplify right side
    161.66x = 24,329.15
  5. Step 5: Solve for x
    x = 24,329.15/161.66
  6. Step 6: Final answer
    x = 150.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.