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Finding the Fourth Proportional to 36.62, 55.26 and 35.88

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Solution

The fourth proportional to 36.62, 55.26 and 35.88 is: 54.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.62 : 55.26 = 35.88 : x
  2. Step 2: Convert to fraction form
    36.62/55.26 = 35.88/x
  3. Step 3: Cross multiply
    36.62x = 55.26 × 35.88
  4. Step 4: Simplify right side
    36.62x = 1,982.73
  5. Step 5: Solve for x
    x = 1,982.73/36.62
  6. Step 6: Final answer
    x = 54.14

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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.