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Finding the Fourth Proportional to 95.07, 131.17 and 76.67

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Solution

The fourth proportional to 95.07, 131.17 and 76.67 is: 105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.07 : 131.17 = 76.67 : x
  2. Step 2: Convert to fraction form
    95.07/131.17 = 76.67/x
  3. Step 3: Cross multiply
    95.07x = 131.17 × 76.67
  4. Step 4: Simplify right side
    95.07x = 10,056.80
  5. Step 5: Solve for x
    x = 10,056.80/95.07
  6. Step 6: Final answer
    x = 105.78

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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.