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Finding the Fourth Proportional to 161.57, 222.96 and 91.64

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Solution

The fourth proportional to 161.57, 222.96 and 91.64 is: 126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.57 : 222.96 = 91.64 : x
  2. Step 2: Convert to fraction form
    161.57/222.96 = 91.64/x
  3. Step 3: Cross multiply
    161.57x = 222.96 × 91.64
  4. Step 4: Simplify right side
    161.57x = 20,431.28
  5. Step 5: Solve for x
    x = 20,431.28/161.57
  6. Step 6: Final answer
    x = 126.45

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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.