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Finding the Fourth Proportional to 96.24, 132.85 and 77.36

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Solution

The fourth proportional to 96.24, 132.85 and 77.36 is: 106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.24 : 132.85 = 77.36 : x
  2. Step 2: Convert to fraction form
    96.24/132.85 = 77.36/x
  3. Step 3: Cross multiply
    96.24x = 132.85 × 77.36
  4. Step 4: Simplify right side
    96.24x = 10,277.28
  5. Step 5: Solve for x
    x = 10,277.28/96.24
  6. Step 6: Final answer
    x = 106.79

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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.