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Finding the Fourth Proportional to 131.99, 182.14 and 82.90

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Solution

The fourth proportional to 131.99, 182.14 and 82.90 is: 114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.99 : 182.14 = 82.90 : x
  2. Step 2: Convert to fraction form
    131.99/182.14 = 82.90/x
  3. Step 3: Cross multiply
    131.99x = 182.14 × 82.90
  4. Step 4: Simplify right side
    131.99x = 15,098.70
  5. Step 5: Solve for x
    x = 15,098.70/131.99
  6. Step 6: Final answer
    x = 114.39

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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.