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Finding the Fourth Proportional to 96.31, 132.91 and 52.65

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Solution

The fourth proportional to 96.31, 132.91 and 52.65 is: 72.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.31 : 132.91 = 52.65 : x
  2. Step 2: Convert to fraction form
    96.31/132.91 = 52.65/x
  3. Step 3: Cross multiply
    96.31x = 132.91 × 52.65
  4. Step 4: Simplify right side
    96.31x = 6,996.78
  5. Step 5: Solve for x
    x = 6,996.78/96.31
  6. Step 6: Final answer
    x = 72.65

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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.