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Finding the Fourth Proportional to 96.24, 132.54 and 79.72

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Solution

The fourth proportional to 96.24, 132.54 and 79.72 is: 109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.24 : 132.54 = 79.72 : x
  2. Step 2: Convert to fraction form
    96.24/132.54 = 79.72/x
  3. Step 3: Cross multiply
    96.24x = 132.54 × 79.72
  4. Step 4: Simplify right side
    96.24x = 10,566.65
  5. Step 5: Solve for x
    x = 10,566.65/96.24
  6. Step 6: Final answer
    x = 109.79

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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.