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Finding the Fourth Proportional to 76.06, 113.97 and 63.91

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Solution

The fourth proportional to 76.06, 113.97 and 63.91 is: 95.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.06 : 113.97 = 63.91 : x
  2. Step 2: Convert to fraction form
    76.06/113.97 = 63.91/x
  3. Step 3: Cross multiply
    76.06x = 113.97 × 63.91
  4. Step 4: Simplify right side
    76.06x = 7,283.25
  5. Step 5: Solve for x
    x = 7,283.25/76.06
  6. Step 6: Final answer
    x = 95.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.