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Finding the Fourth Proportional to 36.13, 49.84 and 22.30

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Solution

The fourth proportional to 36.13, 49.84 and 22.30 is: 30.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.13 : 49.84 = 22.30 : x
  2. Step 2: Convert to fraction form
    36.13/49.84 = 22.30/x
  3. Step 3: Cross multiply
    36.13x = 49.84 × 22.30
  4. Step 4: Simplify right side
    36.13x = 1,111.43
  5. Step 5: Solve for x
    x = 1,111.43/36.13
  6. Step 6: Final answer
    x = 30.76

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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.