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Finding the Fourth Proportional to 234.12, 351.14 and 71.76

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Solution

The fourth proportional to 234.12, 351.14 and 71.76 is: 107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.12 : 351.14 = 71.76 : x
  2. Step 2: Convert to fraction form
    234.12/351.14 = 71.76/x
  3. Step 3: Cross multiply
    234.12x = 351.14 × 71.76
  4. Step 4: Simplify right side
    234.12x = 25,197.45
  5. Step 5: Solve for x
    x = 25,197.45/234.12
  6. Step 6: Final answer
    x = 107.63

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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.