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Finding the Fourth Proportional to 161.31, 222.59 and 94.91

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Solution

The fourth proportional to 161.31, 222.59 and 94.91 is: 130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.31 : 222.59 = 94.91 : x
  2. Step 2: Convert to fraction form
    161.31/222.59 = 94.91/x
  3. Step 3: Cross multiply
    161.31x = 222.59 × 94.91
  4. Step 4: Simplify right side
    161.31x = 21,125.98
  5. Step 5: Solve for x
    x = 21,125.98/161.31
  6. Step 6: Final answer
    x = 130.97

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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.