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Finding the Fourth Proportional to 96.23, 132.81 and 52.58

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Solution

The fourth proportional to 96.23, 132.81 and 52.58 is: 72.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.23 : 132.81 = 52.58 : x
  2. Step 2: Convert to fraction form
    96.23/132.81 = 52.58/x
  3. Step 3: Cross multiply
    96.23x = 132.81 × 52.58
  4. Step 4: Simplify right side
    96.23x = 6,982.49
  5. Step 5: Solve for x
    x = 6,982.49/96.23
  6. Step 6: Final answer
    x = 72.56

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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.