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Finding the Fourth Proportional to 41.37, 61.94 and 31.78

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Solution

The fourth proportional to 41.37, 61.94 and 31.78 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.37 : 61.94 = 31.78 : x
  2. Step 2: Convert to fraction form
    41.37/61.94 = 31.78/x
  3. Step 3: Cross multiply
    41.37x = 61.94 × 31.78
  4. Step 4: Simplify right side
    41.37x = 1,968.29
  5. Step 5: Solve for x
    x = 1,968.29/41.37
  6. Step 6: Final answer
    x = 47.58

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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.