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Finding the Fourth Proportional to 161.08, 222.16 and 98.92

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Solution

The fourth proportional to 161.08, 222.16 and 98.92 is: 136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.08 : 222.16 = 98.92 : x
  2. Step 2: Convert to fraction form
    161.08/222.16 = 98.92/x
  3. Step 3: Cross multiply
    161.08x = 222.16 × 98.92
  4. Step 4: Simplify right side
    161.08x = 21,976.07
  5. Step 5: Solve for x
    x = 21,976.07/161.08
  6. Step 6: Final answer
    x = 136.43

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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.