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Finding the Fourth Proportional to 131.62, 181.43 and 82.41

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Solution

The fourth proportional to 131.62, 181.43 and 82.41 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.62 : 181.43 = 82.41 : x
  2. Step 2: Convert to fraction form
    131.62/181.43 = 82.41/x
  3. Step 3: Cross multiply
    131.62x = 181.43 × 82.41
  4. Step 4: Simplify right side
    131.62x = 14,950.33
  5. Step 5: Solve for x
    x = 14,950.33/131.62
  6. Step 6: Final answer
    x = 113.59

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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.