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Finding the Fourth Proportional to 120.44, 166.12 and 81.56

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Solution

The fourth proportional to 120.44, 166.12 and 81.56 is: 112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.44 : 166.12 = 81.56 : x
  2. Step 2: Convert to fraction form
    120.44/166.12 = 81.56/x
  3. Step 3: Cross multiply
    120.44x = 166.12 × 81.56
  4. Step 4: Simplify right side
    120.44x = 13,548.75
  5. Step 5: Solve for x
    x = 13,548.75/120.44
  6. Step 6: Final answer
    x = 112.49

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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.