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Finding the Fourth Proportional to 161.07, 222.24 and 94.66

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Solution

The fourth proportional to 161.07, 222.24 and 94.66 is: 130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.07 : 222.24 = 94.66 : x
  2. Step 2: Convert to fraction form
    161.07/222.24 = 94.66/x
  3. Step 3: Cross multiply
    161.07x = 222.24 × 94.66
  4. Step 4: Simplify right side
    161.07x = 21,036.68
  5. Step 5: Solve for x
    x = 21,036.68/161.07
  6. Step 6: Final answer
    x = 130.61

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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.