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Finding the Fourth Proportional to 96.19, 132.77 and 77.76

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Solution

The fourth proportional to 96.19, 132.77 and 77.76 is: 107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 132.77 = 77.76 : x
  2. Step 2: Convert to fraction form
    96.19/132.77 = 77.76/x
  3. Step 3: Cross multiply
    96.19x = 132.77 × 77.76
  4. Step 4: Simplify right side
    96.19x = 10,324.39
  5. Step 5: Solve for x
    x = 10,324.39/96.19
  6. Step 6: Final answer
    x = 107.34

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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.