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Finding the Fourth Proportional to 96.23, 132.79 and 57.41

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Solution

The fourth proportional to 96.23, 132.79 and 57.41 is: 79.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.23 : 132.79 = 57.41 : x
  2. Step 2: Convert to fraction form
    96.23/132.79 = 57.41/x
  3. Step 3: Cross multiply
    96.23x = 132.79 × 57.41
  4. Step 4: Simplify right side
    96.23x = 7,623.29
  5. Step 5: Solve for x
    x = 7,623.29/96.23
  6. Step 6: Final answer
    x = 79.22

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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.