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Finding the Fourth Proportional to 161.19, 222.35 and 103.05

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Solution

The fourth proportional to 161.19, 222.35 and 103.05 is: 142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.19 : 222.35 = 103.05 : x
  2. Step 2: Convert to fraction form
    161.19/222.35 = 103.05/x
  3. Step 3: Cross multiply
    161.19x = 222.35 × 103.05
  4. Step 4: Simplify right side
    161.19x = 22,912.65
  5. Step 5: Solve for x
    x = 22,912.65/161.19
  6. Step 6: Final answer
    x = 142.15

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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.