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Finding the Fourth Proportional to 96.57, 132.84 and 92.79

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Solution

The fourth proportional to 96.57, 132.84 and 92.79 is: 127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.57 : 132.84 = 92.79 : x
  2. Step 2: Convert to fraction form
    96.57/132.84 = 92.79/x
  3. Step 3: Cross multiply
    96.57x = 132.84 × 92.79
  4. Step 4: Simplify right side
    96.57x = 12,326.22
  5. Step 5: Solve for x
    x = 12,326.22/96.57
  6. Step 6: Final answer
    x = 127.64

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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.