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Finding the Fourth Proportional to 81.52, 121.64 and 79.60

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Solution

The fourth proportional to 81.52, 121.64 and 79.60 is: 118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.52 : 121.64 = 79.60 : x
  2. Step 2: Convert to fraction form
    81.52/121.64 = 79.60/x
  3. Step 3: Cross multiply
    81.52x = 121.64 × 79.60
  4. Step 4: Simplify right side
    81.52x = 9,682.54
  5. Step 5: Solve for x
    x = 9,682.54/81.52
  6. Step 6: Final answer
    x = 118.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.