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Finding the Fourth Proportional to 82.83, 123.99 and 81.12

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Solution

The fourth proportional to 82.83, 123.99 and 81.12 is: 121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.83 : 123.99 = 81.12 : x
  2. Step 2: Convert to fraction form
    82.83/123.99 = 81.12/x
  3. Step 3: Cross multiply
    82.83x = 123.99 × 81.12
  4. Step 4: Simplify right side
    82.83x = 10,058.07
  5. Step 5: Solve for x
    x = 10,058.07/82.83
  6. Step 6: Final answer
    x = 121.43

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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.