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Finding the Fourth Proportional to 131.97, 182.08 and 75.94

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Solution

The fourth proportional to 131.97, 182.08 and 75.94 is: 104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.97 : 182.08 = 75.94 : x
  2. Step 2: Convert to fraction form
    131.97/182.08 = 75.94/x
  3. Step 3: Cross multiply
    131.97x = 182.08 × 75.94
  4. Step 4: Simplify right side
    131.97x = 13,826.70
  5. Step 5: Solve for x
    x = 13,826.70/131.97
  6. Step 6: Final answer
    x = 104.77

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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.