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Finding the Fourth Proportional to 41.58, 62.25 and 31.27

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Solution

The fourth proportional to 41.58, 62.25 and 31.27 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.58 : 62.25 = 31.27 : x
  2. Step 2: Convert to fraction form
    41.58/62.25 = 31.27/x
  3. Step 3: Cross multiply
    41.58x = 62.25 × 31.27
  4. Step 4: Simplify right side
    41.58x = 1,946.56
  5. Step 5: Solve for x
    x = 1,946.56/41.58
  6. Step 6: Final answer
    x = 46.82

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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.