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Finding the Fourth Proportional to 19.53, 29.31 and 13.83

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Solution

The fourth proportional to 19.53, 29.31 and 13.83 is: 20.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.53 : 29.31 = 13.83 : x
  2. Step 2: Convert to fraction form
    19.53/29.31 = 13.83/x
  3. Step 3: Cross multiply
    19.53x = 29.31 × 13.83
  4. Step 4: Simplify right side
    19.53x = 405.36
  5. Step 5: Solve for x
    x = 405.36/19.53
  6. Step 6: Final answer
    x = 20.76

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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.