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Finding the Fourth Proportional to 131.44, 181.41 and 82.34

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Solution

The fourth proportional to 131.44, 181.41 and 82.34 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.44 : 181.41 = 82.34 : x
  2. Step 2: Convert to fraction form
    131.44/181.41 = 82.34/x
  3. Step 3: Cross multiply
    131.44x = 181.41 × 82.34
  4. Step 4: Simplify right side
    131.44x = 14,937.30
  5. Step 5: Solve for x
    x = 14,937.30/131.44
  6. Step 6: Final answer
    x = 113.64

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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.