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Finding the Fourth Proportional to 69.92, 96.51 and 40.82

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Solution

The fourth proportional to 69.92, 96.51 and 40.82 is: 56.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.92 : 96.51 = 40.82 : x
  2. Step 2: Convert to fraction form
    69.92/96.51 = 40.82/x
  3. Step 3: Cross multiply
    69.92x = 96.51 × 40.82
  4. Step 4: Simplify right side
    69.92x = 3,938.85
  5. Step 5: Solve for x
    x = 3,938.85/69.92
  6. Step 6: Final answer
    x = 56.33

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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.