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Finding the Fourth Proportional to 36, 53.92 and 19.96

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Solution

The fourth proportional to 36, 53.92 and 19.96 is: 29.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 53.92 = 19.96 : x
  2. Step 2: Convert to fraction form
    36/53.92 = 19.96/x
  3. Step 3: Cross multiply
    36x = 53.92 × 19.96
  4. Step 4: Simplify right side
    36x = 1,076.24
  5. Step 5: Solve for x
    x = 1,076.24/36
  6. Step 6: Final answer
    x = 29.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.