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Finding the Fourth Proportional to 96.24, 132.81 and 52.57

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Solution

The fourth proportional to 96.24, 132.81 and 52.57 is: 72.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.24 : 132.81 = 52.57 : x
  2. Step 2: Convert to fraction form
    96.24/132.81 = 52.57/x
  3. Step 3: Cross multiply
    96.24x = 132.81 × 52.57
  4. Step 4: Simplify right side
    96.24x = 6,982.02
  5. Step 5: Solve for x
    x = 6,982.02/96.24
  6. Step 6: Final answer
    x = 72.55

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Why These Related Problems?

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