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Finding the Fourth Proportional to 82.56, 113.94 and 60.68

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Solution

The fourth proportional to 82.56, 113.94 and 60.68 is: 83.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.56 : 113.94 = 60.68 : x
  2. Step 2: Convert to fraction form
    82.56/113.94 = 60.68/x
  3. Step 3: Cross multiply
    82.56x = 113.94 × 60.68
  4. Step 4: Simplify right side
    82.56x = 6,913.88
  5. Step 5: Solve for x
    x = 6,913.88/82.56
  6. Step 6: Final answer
    x = 83.74

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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.