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Finding the Fourth Proportional to 82.08, 113.74 and 80.19

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Solution

The fourth proportional to 82.08, 113.74 and 80.19 is: 111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.08 : 113.74 = 80.19 : x
  2. Step 2: Convert to fraction form
    82.08/113.74 = 80.19/x
  3. Step 3: Cross multiply
    82.08x = 113.74 × 80.19
  4. Step 4: Simplify right side
    82.08x = 9,120.61
  5. Step 5: Solve for x
    x = 9,120.61/82.08
  6. Step 6: Final answer
    x = 111.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.