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Finding the Fourth Proportional to 82.05, 113.24 and 49.31

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Solution

The fourth proportional to 82.05, 113.24 and 49.31 is: 68.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.05 : 113.24 = 49.31 : x
  2. Step 2: Convert to fraction form
    82.05/113.24 = 49.31/x
  3. Step 3: Cross multiply
    82.05x = 113.24 × 49.31
  4. Step 4: Simplify right side
    82.05x = 5,583.86
  5. Step 5: Solve for x
    x = 5,583.86/82.05
  6. Step 6: Final answer
    x = 68.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.