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Finding the Fourth Proportional to 69.89, 96.41 and 42.24

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Solution

The fourth proportional to 69.89, 96.41 and 42.24 is: 58.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.89 : 96.41 = 42.24 : x
  2. Step 2: Convert to fraction form
    69.89/96.41 = 42.24/x
  3. Step 3: Cross multiply
    69.89x = 96.41 × 42.24
  4. Step 4: Simplify right side
    69.89x = 4,072.15
  5. Step 5: Solve for x
    x = 4,072.15/69.89
  6. Step 6: Final answer
    x = 58.27

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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.