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Finding the Fourth Proportional to 96.04, 132.30 and 77.68

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Solution

The fourth proportional to 96.04, 132.30 and 77.68 is: 107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.04 : 132.30 = 77.68 : x
  2. Step 2: Convert to fraction form
    96.04/132.30 = 77.68/x
  3. Step 3: Cross multiply
    96.04x = 132.30 × 77.68
  4. Step 4: Simplify right side
    96.04x = 10,276.73
  5. Step 5: Solve for x
    x = 10,276.73/96.04
  6. Step 6: Final answer
    x = 107.01

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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.