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Finding the Fourth Proportional to 131.01, 180.66 and 81.82

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Solution

The fourth proportional to 131.01, 180.66 and 81.82 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.01 : 180.66 = 81.82 : x
  2. Step 2: Convert to fraction form
    131.01/180.66 = 81.82/x
  3. Step 3: Cross multiply
    131.01x = 180.66 × 81.82
  4. Step 4: Simplify right side
    131.01x = 14,781.60
  5. Step 5: Solve for x
    x = 14,781.60/131.01
  6. Step 6: Final answer
    x = 112.83

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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.