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Finding the Fourth Proportional to 96.54, 133.24 and 57.22

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Solution

The fourth proportional to 96.54, 133.24 and 57.22 is: 78.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.54 : 133.24 = 57.22 : x
  2. Step 2: Convert to fraction form
    96.54/133.24 = 57.22/x
  3. Step 3: Cross multiply
    96.54x = 133.24 × 57.22
  4. Step 4: Simplify right side
    96.54x = 7,623.99
  5. Step 5: Solve for x
    x = 7,623.99/96.54
  6. Step 6: Final answer
    x = 78.97

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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.