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Finding the Fourth Proportional to 57.69, 86.59 and 41.46

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Solution

The fourth proportional to 57.69, 86.59 and 41.46 is: 62.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.69 : 86.59 = 41.46 : x
  2. Step 2: Convert to fraction form
    57.69/86.59 = 41.46/x
  3. Step 3: Cross multiply
    57.69x = 86.59 × 41.46
  4. Step 4: Simplify right side
    57.69x = 3,589.38
  5. Step 5: Solve for x
    x = 3,589.38/57.69
  6. Step 6: Final answer
    x = 62.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.