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Finding the Fourth Proportional to 36.20, 49.96 and 23.28

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Solution

The fourth proportional to 36.20, 49.96 and 23.28 is: 32.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.20 : 49.96 = 23.28 : x
  2. Step 2: Convert to fraction form
    36.20/49.96 = 23.28/x
  3. Step 3: Cross multiply
    36.20x = 49.96 × 23.28
  4. Step 4: Simplify right side
    36.20x = 1,163.07
  5. Step 5: Solve for x
    x = 1,163.07/36.20
  6. Step 6: Final answer
    x = 32.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.