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Finding the Fourth Proportional to 161.57, 222.89 and 114.96

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Solution

The fourth proportional to 161.57, 222.89 and 114.96 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.57 : 222.89 = 114.96 : x
  2. Step 2: Convert to fraction form
    161.57/222.89 = 114.96/x
  3. Step 3: Cross multiply
    161.57x = 222.89 × 114.96
  4. Step 4: Simplify right side
    161.57x = 25,623.70
  5. Step 5: Solve for x
    x = 25,623.70/161.57
  6. Step 6: Final answer
    x = 158.59

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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.