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Finding the Fourth Proportional to 82.68, 113.94 and 79.86

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Solution

The fourth proportional to 82.68, 113.94 and 79.86 is: 110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.68 : 113.94 = 79.86 : x
  2. Step 2: Convert to fraction form
    82.68/113.94 = 79.86/x
  3. Step 3: Cross multiply
    82.68x = 113.94 × 79.86
  4. Step 4: Simplify right side
    82.68x = 9,099.25
  5. Step 5: Solve for x
    x = 9,099.25/82.68
  6. Step 6: Final answer
    x = 110.05

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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.