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Finding the Fourth Proportional to 161.15, 222.41 and 91.23

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Solution

The fourth proportional to 161.15, 222.41 and 91.23 is: 125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.15 : 222.41 = 91.23 : x
  2. Step 2: Convert to fraction form
    161.15/222.41 = 91.23/x
  3. Step 3: Cross multiply
    161.15x = 222.41 × 91.23
  4. Step 4: Simplify right side
    161.15x = 20,290.46
  5. Step 5: Solve for x
    x = 20,290.46/161.15
  6. Step 6: Final answer
    x = 125.91

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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.