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Finding the Fourth Proportional to 82.26, 113.49 and 47.74

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Solution

The fourth proportional to 82.26, 113.49 and 47.74 is: 65.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.26 : 113.49 = 47.74 : x
  2. Step 2: Convert to fraction form
    82.26/113.49 = 47.74/x
  3. Step 3: Cross multiply
    82.26x = 113.49 × 47.74
  4. Step 4: Simplify right side
    82.26x = 5,418.01
  5. Step 5: Solve for x
    x = 5,418.01/82.26
  6. Step 6: Final answer
    x = 65.86

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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.