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Finding the Fourth Proportional to 82.05, 122.92 and 62.78

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Solution

The fourth proportional to 82.05, 122.92 and 62.78 is: 94.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.05 : 122.92 = 62.78 : x
  2. Step 2: Convert to fraction form
    82.05/122.92 = 62.78/x
  3. Step 3: Cross multiply
    82.05x = 122.92 × 62.78
  4. Step 4: Simplify right side
    82.05x = 7,716.15
  5. Step 5: Solve for x
    x = 7,716.15/82.05
  6. Step 6: Final answer
    x = 94.05

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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.