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Finding the Fourth Proportional to 36.50, 54.99 and 32.72

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Solution

The fourth proportional to 36.50, 54.99 and 32.72 is: 49.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.50 : 54.99 = 32.72 : x
  2. Step 2: Convert to fraction form
    36.50/54.99 = 32.72/x
  3. Step 3: Cross multiply
    36.50x = 54.99 × 32.72
  4. Step 4: Simplify right side
    36.50x = 1,799.00
  5. Step 5: Solve for x
    x = 1,799.00/36.50
  6. Step 6: Final answer
    x = 49.29

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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.