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Finding the Fourth Proportional to 161.16, 222.33 and 102.12

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Solution

The fourth proportional to 161.16, 222.33 and 102.12 is: 140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 222.33 = 102.12 : x
  2. Step 2: Convert to fraction form
    161.16/222.33 = 102.12/x
  3. Step 3: Cross multiply
    161.16x = 222.33 × 102.12
  4. Step 4: Simplify right side
    161.16x = 22,704.34
  5. Step 5: Solve for x
    x = 22,704.34/161.16
  6. Step 6: Final answer
    x = 140.88

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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.