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Finding the Fourth Proportional to 161, 222.36 and 109.16

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Solution

The fourth proportional to 161, 222.36 and 109.16 is: 150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161 : 222.36 = 109.16 : x
  2. Step 2: Convert to fraction form
    161/222.36 = 109.16/x
  3. Step 3: Cross multiply
    161x = 222.36 × 109.16
  4. Step 4: Simplify right side
    161x = 24,272.82
  5. Step 5: Solve for x
    x = 24,272.82/161
  6. Step 6: Final answer
    x = 150.76

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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.