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Finding the Fourth Proportional to 161.18, 222.49 and 108.75

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Solution

The fourth proportional to 161.18, 222.49 and 108.75 is: 150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.18 : 222.49 = 108.75 : x
  2. Step 2: Convert to fraction form
    161.18/222.49 = 108.75/x
  3. Step 3: Cross multiply
    161.18x = 222.49 × 108.75
  4. Step 4: Simplify right side
    161.18x = 24,195.24
  5. Step 5: Solve for x
    x = 24,195.24/161.18
  6. Step 6: Final answer
    x = 150.12

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