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Finding the Fourth Proportional to 81.70, 122.57 and 27.60

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Solution

The fourth proportional to 81.70, 122.57 and 27.60 is: 41.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.70 : 122.57 = 27.60 : x
  2. Step 2: Convert to fraction form
    81.70/122.57 = 27.60/x
  3. Step 3: Cross multiply
    81.70x = 122.57 × 27.60
  4. Step 4: Simplify right side
    81.70x = 3,382.93
  5. Step 5: Solve for x
    x = 3,382.93/81.70
  6. Step 6: Final answer
    x = 41.41

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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.