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Finding the Fourth Proportional to 161.24, 222.60 and 111.69

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Solution

The fourth proportional to 161.24, 222.60 and 111.69 is: 154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.24 : 222.60 = 111.69 : x
  2. Step 2: Convert to fraction form
    161.24/222.60 = 111.69/x
  3. Step 3: Cross multiply
    161.24x = 222.60 × 111.69
  4. Step 4: Simplify right side
    161.24x = 24,862.19
  5. Step 5: Solve for x
    x = 24,862.19/161.24
  6. Step 6: Final answer
    x = 154.20

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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.