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Finding the Fourth Proportional to 20.00, 29.96 and 10.36

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Solution

The fourth proportional to 20.00, 29.96 and 10.36 is: 15.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.00 : 29.96 = 10.36 : x
  2. Step 2: Convert to fraction form
    20.00/29.96 = 10.36/x
  3. Step 3: Cross multiply
    20.00x = 29.96 × 10.36
  4. Step 4: Simplify right side
    20.00x = 310.47
  5. Step 5: Solve for x
    x = 310.47/20.00
  6. Step 6: Final answer
    x = 15.52

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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.