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Finding the Fourth Proportional to 94.45, 141.11 and 82.75

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Solution

The fourth proportional to 94.45, 141.11 and 82.75 is: 123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.45 : 141.11 = 82.75 : x
  2. Step 2: Convert to fraction form
    94.45/141.11 = 82.75/x
  3. Step 3: Cross multiply
    94.45x = 141.11 × 82.75
  4. Step 4: Simplify right side
    94.45x = 11,676.85
  5. Step 5: Solve for x
    x = 11,676.85/94.45
  6. Step 6: Final answer
    x = 123.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.