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Finding the Fourth Proportional to 41.65, 62.37 and 31.85

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Solution

The fourth proportional to 41.65, 62.37 and 31.85 is: 47.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.65 : 62.37 = 31.85 : x
  2. Step 2: Convert to fraction form
    41.65/62.37 = 31.85/x
  3. Step 3: Cross multiply
    41.65x = 62.37 × 31.85
  4. Step 4: Simplify right side
    41.65x = 1,986.41
  5. Step 5: Solve for x
    x = 1,986.41/41.65
  6. Step 6: Final answer
    x = 47.70

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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.