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Finding the Fourth Proportional to 82.89, 123.98 and 81.63

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Solution

The fourth proportional to 82.89, 123.98 and 81.63 is: 122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.89 : 123.98 = 81.63 : x
  2. Step 2: Convert to fraction form
    82.89/123.98 = 81.63/x
  3. Step 3: Cross multiply
    82.89x = 123.98 × 81.63
  4. Step 4: Simplify right side
    82.89x = 10,120.08
  5. Step 5: Solve for x
    x = 10,120.08/82.89
  6. Step 6: Final answer
    x = 122.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.