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Finding the Fourth Proportional to 131.11, 180.90 and 82

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Solution

The fourth proportional to 131.11, 180.90 and 82 is: 113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.11 : 180.90 = 82 : x
  2. Step 2: Convert to fraction form
    131.11/180.90 = 82/x
  3. Step 3: Cross multiply
    131.11x = 180.90 × 82
  4. Step 4: Simplify right side
    131.11x = 14,833.80
  5. Step 5: Solve for x
    x = 14,833.80/131.11
  6. Step 6: Final answer
    x = 113.14

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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.