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Finding the Fourth Proportional to 82.08, 113.72 and 80.46

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Solution

The fourth proportional to 82.08, 113.72 and 80.46 is: 111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.08 : 113.72 = 80.46 : x
  2. Step 2: Convert to fraction form
    82.08/113.72 = 80.46/x
  3. Step 3: Cross multiply
    82.08x = 113.72 × 80.46
  4. Step 4: Simplify right side
    82.08x = 9,149.51
  5. Step 5: Solve for x
    x = 9,149.51/82.08
  6. Step 6: Final answer
    x = 111.47

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