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Finding the Fourth Proportional to 82.70, 113.77 and 82.12

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Solution

The fourth proportional to 82.70, 113.77 and 82.12 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.70 : 113.77 = 82.12 : x
  2. Step 2: Convert to fraction form
    82.70/113.77 = 82.12/x
  3. Step 3: Cross multiply
    82.70x = 113.77 × 82.12
  4. Step 4: Simplify right side
    82.70x = 9,342.79
  5. Step 5: Solve for x
    x = 9,342.79/82.70
  6. Step 6: Final answer
    x = 112.97

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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.