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Finding the Fourth Proportional to 69.46, 95.87 and 40.38

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Solution

The fourth proportional to 69.46, 95.87 and 40.38 is: 55.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.46 : 95.87 = 40.38 : x
  2. Step 2: Convert to fraction form
    69.46/95.87 = 40.38/x
  3. Step 3: Cross multiply
    69.46x = 95.87 × 40.38
  4. Step 4: Simplify right side
    69.46x = 3,871.23
  5. Step 5: Solve for x
    x = 3,871.23/69.46
  6. Step 6: Final answer
    x = 55.73

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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.