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Finding the Fourth Proportional to 82.05, 113.09 and 57.41

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Solution

The fourth proportional to 82.05, 113.09 and 57.41 is: 79.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.05 : 113.09 = 57.41 : x
  2. Step 2: Convert to fraction form
    82.05/113.09 = 57.41/x
  3. Step 3: Cross multiply
    82.05x = 113.09 × 57.41
  4. Step 4: Simplify right side
    82.05x = 6,492.21
  5. Step 5: Solve for x
    x = 6,492.21/82.05
  6. Step 6: Final answer
    x = 79.13

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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.