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Finding the Fourth Proportional to 82.70, 123.44 and 81.94

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Solution

The fourth proportional to 82.70, 123.44 and 81.94 is: 122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.70 : 123.44 = 81.94 : x
  2. Step 2: Convert to fraction form
    82.70/123.44 = 81.94/x
  3. Step 3: Cross multiply
    82.70x = 123.44 × 81.94
  4. Step 4: Simplify right side
    82.70x = 10,114.67
  5. Step 5: Solve for x
    x = 10,114.67/82.70
  6. Step 6: Final answer
    x = 122.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.