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Finding the Fourth Proportional to 41.09, 61.43 and 31.34

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Solution

The fourth proportional to 41.09, 61.43 and 31.34 is: 46.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.09 : 61.43 = 31.34 : x
  2. Step 2: Convert to fraction form
    41.09/61.43 = 31.34/x
  3. Step 3: Cross multiply
    41.09x = 61.43 × 31.34
  4. Step 4: Simplify right side
    41.09x = 1,925.21
  5. Step 5: Solve for x
    x = 1,925.21/41.09
  6. Step 6: Final answer
    x = 46.86

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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.