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Finding the Fourth Proportional to 131.97, 181.96 and 82.78

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Solution

The fourth proportional to 131.97, 181.96 and 82.78 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.97 : 181.96 = 82.78 : x
  2. Step 2: Convert to fraction form
    131.97/181.96 = 82.78/x
  3. Step 3: Cross multiply
    131.97x = 181.96 × 82.78
  4. Step 4: Simplify right side
    131.97x = 15,062.65
  5. Step 5: Solve for x
    x = 15,062.65/131.97
  6. Step 6: Final answer
    x = 114.14

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