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Finding the Fourth Proportional to 96.09, 132.65 and 76.78

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Solution

The fourth proportional to 96.09, 132.65 and 76.78 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.09 : 132.65 = 76.78 : x
  2. Step 2: Convert to fraction form
    96.09/132.65 = 76.78/x
  3. Step 3: Cross multiply
    96.09x = 132.65 × 76.78
  4. Step 4: Simplify right side
    96.09x = 10,184.87
  5. Step 5: Solve for x
    x = 10,184.87/96.09
  6. Step 6: Final answer
    x = 105.99

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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.