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Finding the Fourth Proportional to 161.46, 222.89 and 108.95

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Solution

The fourth proportional to 161.46, 222.89 and 108.95 is: 150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 222.89 = 108.95 : x
  2. Step 2: Convert to fraction form
    161.46/222.89 = 108.95/x
  3. Step 3: Cross multiply
    161.46x = 222.89 × 108.95
  4. Step 4: Simplify right side
    161.46x = 24,282.21
  5. Step 5: Solve for x
    x = 24,282.21/161.46
  6. Step 6: Final answer
    x = 150.39

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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.