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Finding the Fourth Proportional to 69.57, 96 and 40.46

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Solution

The fourth proportional to 69.57, 96 and 40.46 is: 55.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.57 : 96 = 40.46 : x
  2. Step 2: Convert to fraction form
    69.57/96 = 40.46/x
  3. Step 3: Cross multiply
    69.57x = 96 × 40.46
  4. Step 4: Simplify right side
    69.57x = 3,884.16
  5. Step 5: Solve for x
    x = 3,884.16/69.57
  6. Step 6: Final answer
    x = 55.83

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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.