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Finding the Fourth Proportional to 82.05, 123.15 and 33.99

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Solution

The fourth proportional to 82.05, 123.15 and 33.99 is: 51.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.05 : 123.15 = 33.99 : x
  2. Step 2: Convert to fraction form
    82.05/123.15 = 33.99/x
  3. Step 3: Cross multiply
    82.05x = 123.15 × 33.99
  4. Step 4: Simplify right side
    82.05x = 4,185.87
  5. Step 5: Solve for x
    x = 4,185.87/82.05
  6. Step 6: Final answer
    x = 51.02

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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.