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Finding the Fourth Proportional to 36.87, 55.34 and 34.67

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Solution

The fourth proportional to 36.87, 55.34 and 34.67 is: 52.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.87 : 55.34 = 34.67 : x
  2. Step 2: Convert to fraction form
    36.87/55.34 = 34.67/x
  3. Step 3: Cross multiply
    36.87x = 55.34 × 34.67
  4. Step 4: Simplify right side
    36.87x = 1,918.36
  5. Step 5: Solve for x
    x = 1,918.36/36.87
  6. Step 6: Final answer
    x = 52.03

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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.