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Finding the Fourth Proportional to 96.09, 132.49 and 77.61

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Solution

The fourth proportional to 96.09, 132.49 and 77.61 is: 107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.09 : 132.49 = 77.61 : x
  2. Step 2: Convert to fraction form
    96.09/132.49 = 77.61/x
  3. Step 3: Cross multiply
    96.09x = 132.49 × 77.61
  4. Step 4: Simplify right side
    96.09x = 10,281.96
  5. Step 5: Solve for x
    x = 10,281.96/96.09
  6. Step 6: Final answer
    x = 107.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.