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Finding the Fourth Proportional to 64.14, 95.82 and 41.12

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Solution

The fourth proportional to 64.14, 95.82 and 41.12 is: 61.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.14 : 95.82 = 41.12 : x
  2. Step 2: Convert to fraction form
    64.14/95.82 = 41.12/x
  3. Step 3: Cross multiply
    64.14x = 95.82 × 41.12
  4. Step 4: Simplify right side
    64.14x = 3,940.12
  5. Step 5: Solve for x
    x = 3,940.12/64.14
  6. Step 6: Final answer
    x = 61.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.