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Finding the Fourth Proportional to 71.21, 106.82 and 23.12

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Solution

The fourth proportional to 71.21, 106.82 and 23.12 is: 34.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.21 : 106.82 = 23.12 : x
  2. Step 2: Convert to fraction form
    71.21/106.82 = 23.12/x
  3. Step 3: Cross multiply
    71.21x = 106.82 × 23.12
  4. Step 4: Simplify right side
    71.21x = 2,469.03
  5. Step 5: Solve for x
    x = 2,469.03/71.21
  6. Step 6: Final answer
    x = 34.67

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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.