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Finding the Fourth Proportional to 161.56, 222.94 and 87.87

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Solution

The fourth proportional to 161.56, 222.94 and 87.87 is: 121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.56 : 222.94 = 87.87 : x
  2. Step 2: Convert to fraction form
    161.56/222.94 = 87.87/x
  3. Step 3: Cross multiply
    161.56x = 222.94 × 87.87
  4. Step 4: Simplify right side
    161.56x = 19,589.74
  5. Step 5: Solve for x
    x = 19,589.74/161.56
  6. Step 6: Final answer
    x = 121.25

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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.