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Finding the Fourth Proportional to 131.98, 182.16 and 76.73

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Solution

The fourth proportional to 131.98, 182.16 and 76.73 is: 105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.98 : 182.16 = 76.73 : x
  2. Step 2: Convert to fraction form
    131.98/182.16 = 76.73/x
  3. Step 3: Cross multiply
    131.98x = 182.16 × 76.73
  4. Step 4: Simplify right side
    131.98x = 13,977.14
  5. Step 5: Solve for x
    x = 13,977.14/131.98
  6. Step 6: Final answer
    x = 105.91

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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.