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Finding the Fourth Proportional to 69.74, 96.24 and 40.22

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Solution

The fourth proportional to 69.74, 96.24 and 40.22 is: 55.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.74 : 96.24 = 40.22 : x
  2. Step 2: Convert to fraction form
    69.74/96.24 = 40.22/x
  3. Step 3: Cross multiply
    69.74x = 96.24 × 40.22
  4. Step 4: Simplify right side
    69.74x = 3,871.16
  5. Step 5: Solve for x
    x = 3,871.16/69.74
  6. Step 6: Final answer
    x = 55.51

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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.