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Finding the Fourth Proportional to 234.01, 350.72 and 103.87

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Solution

The fourth proportional to 234.01, 350.72 and 103.87 is: 155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.01 : 350.72 = 103.87 : x
  2. Step 2: Convert to fraction form
    234.01/350.72 = 103.87/x
  3. Step 3: Cross multiply
    234.01x = 350.72 × 103.87
  4. Step 4: Simplify right side
    234.01x = 36,427.89
  5. Step 5: Solve for x
    x = 36,427.89/234.01
  6. Step 6: Final answer
    x = 155.67

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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.