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Finding the Fourth Proportional to 41.24, 62.08 and 31.67

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Solution

The fourth proportional to 41.24, 62.08 and 31.67 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.24 : 62.08 = 31.67 : x
  2. Step 2: Convert to fraction form
    41.24/62.08 = 31.67/x
  3. Step 3: Cross multiply
    41.24x = 62.08 × 31.67
  4. Step 4: Simplify right side
    41.24x = 1,965.92
  5. Step 5: Solve for x
    x = 1,965.92/41.24
  6. Step 6: Final answer
    x = 47.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.