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Finding the Fourth Proportional to 36.63, 50.57 and 22.82

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Solution

The fourth proportional to 36.63, 50.57 and 22.82 is: 31.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.63 : 50.57 = 22.82 : x
  2. Step 2: Convert to fraction form
    36.63/50.57 = 22.82/x
  3. Step 3: Cross multiply
    36.63x = 50.57 × 22.82
  4. Step 4: Simplify right side
    36.63x = 1,154.01
  5. Step 5: Solve for x
    x = 1,154.01/36.63
  6. Step 6: Final answer
    x = 31.50

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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.