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Finding the Fourth Proportional to 133.96, 184.90 and 82.28

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Solution

The fourth proportional to 133.96, 184.90 and 82.28 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.96 : 184.90 = 82.28 : x
  2. Step 2: Convert to fraction form
    133.96/184.90 = 82.28/x
  3. Step 3: Cross multiply
    133.96x = 184.90 × 82.28
  4. Step 4: Simplify right side
    133.96x = 15,213.57
  5. Step 5: Solve for x
    x = 15,213.57/133.96
  6. Step 6: Final answer
    x = 113.57

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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.