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Finding the Fourth Proportional to 81.94, 123.19 and 75.59

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Solution

The fourth proportional to 81.94, 123.19 and 75.59 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.94 : 123.19 = 75.59 : x
  2. Step 2: Convert to fraction form
    81.94/123.19 = 75.59/x
  3. Step 3: Cross multiply
    81.94x = 123.19 × 75.59
  4. Step 4: Simplify right side
    81.94x = 9,311.93
  5. Step 5: Solve for x
    x = 9,311.93/81.94
  6. Step 6: Final answer
    x = 113.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.