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Finding the Fourth Proportional to 82.20, 112.83 and 72.94

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Solution

The fourth proportional to 82.20, 112.83 and 72.94 is: 100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.20 : 112.83 = 72.94 : x
  2. Step 2: Convert to fraction form
    82.20/112.83 = 72.94/x
  3. Step 3: Cross multiply
    82.20x = 112.83 × 72.94
  4. Step 4: Simplify right side
    82.20x = 8,229.82
  5. Step 5: Solve for x
    x = 8,229.82/82.20
  6. Step 6: Final answer
    x = 100.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.