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Finding the Fourth Proportional to 82.94, 123.92 and 82.22

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Solution

The fourth proportional to 82.94, 123.92 and 82.22 is: 122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.94 : 123.92 = 82.22 : x
  2. Step 2: Convert to fraction form
    82.94/123.92 = 82.22/x
  3. Step 3: Cross multiply
    82.94x = 123.92 × 82.22
  4. Step 4: Simplify right side
    82.94x = 10,188.70
  5. Step 5: Solve for x
    x = 10,188.70/82.94
  6. Step 6: Final answer
    x = 122.84

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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.