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Finding the Fourth Proportional to 82.00, 113.15 and 49.25

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Solution

The fourth proportional to 82.00, 113.15 and 49.25 is: 67.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.00 : 113.15 = 49.25 : x
  2. Step 2: Convert to fraction form
    82.00/113.15 = 49.25/x
  3. Step 3: Cross multiply
    82.00x = 113.15 × 49.25
  4. Step 4: Simplify right side
    82.00x = 5,571.83
  5. Step 5: Solve for x
    x = 5,571.83/82.00
  6. Step 6: Final answer
    x = 67.95

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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.