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Finding the Fourth Proportional to 82.71, 113.79 and 72.83

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Solution

The fourth proportional to 82.71, 113.79 and 72.83 is: 100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.71 : 113.79 = 72.83 : x
  2. Step 2: Convert to fraction form
    82.71/113.79 = 72.83/x
  3. Step 3: Cross multiply
    82.71x = 113.79 × 72.83
  4. Step 4: Simplify right side
    82.71x = 8,287.33
  5. Step 5: Solve for x
    x = 8,287.33/82.71
  6. Step 6: Final answer
    x = 100.20

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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.