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Finding the Fourth Proportional to 82.11, 113.28 and 54.09

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Solution

The fourth proportional to 82.11, 113.28 and 54.09 is: 74.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.11 : 113.28 = 54.09 : x
  2. Step 2: Convert to fraction form
    82.11/113.28 = 54.09/x
  3. Step 3: Cross multiply
    82.11x = 113.28 × 54.09
  4. Step 4: Simplify right side
    82.11x = 6,127.32
  5. Step 5: Solve for x
    x = 6,127.32/82.11
  6. Step 6: Final answer
    x = 74.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.