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Finding the Fourth Proportional to 36.23, 50.00 and 19.85

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Solution

The fourth proportional to 36.23, 50.00 and 19.85 is: 27.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.23 : 50.00 = 19.85 : x
  2. Step 2: Convert to fraction form
    36.23/50.00 = 19.85/x
  3. Step 3: Cross multiply
    36.23x = 50.00 × 19.85
  4. Step 4: Simplify right side
    36.23x = 992.63
  5. Step 5: Solve for x
    x = 992.63/36.23
  6. Step 6: Final answer
    x = 27.40

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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.