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Finding the Fourth Proportional to 131.24, 181.13 and 82.14

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Solution

The fourth proportional to 131.24, 181.13 and 82.14 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.24 : 181.13 = 82.14 : x
  2. Step 2: Convert to fraction form
    131.24/181.13 = 82.14/x
  3. Step 3: Cross multiply
    131.24x = 181.13 × 82.14
  4. Step 4: Simplify right side
    131.24x = 14,878.02
  5. Step 5: Solve for x
    x = 14,878.02/131.24
  6. Step 6: Final answer
    x = 113.36

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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.