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Finding the Fourth Proportional to 36.62, 54.68 and 32.06

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Solution

The fourth proportional to 36.62, 54.68 and 32.06 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.62 : 54.68 = 32.06 : x
  2. Step 2: Convert to fraction form
    36.62/54.68 = 32.06/x
  3. Step 3: Cross multiply
    36.62x = 54.68 × 32.06
  4. Step 4: Simplify right side
    36.62x = 1,752.61
  5. Step 5: Solve for x
    x = 1,752.61/36.62
  6. Step 6: Final answer
    x = 47.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.