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Finding the Fourth Proportional to 15.16, 20.96 and 14.31

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Solution

The fourth proportional to 15.16, 20.96 and 14.31 is: 19.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.16 : 20.96 = 14.31 : x
  2. Step 2: Convert to fraction form
    15.16/20.96 = 14.31/x
  3. Step 3: Cross multiply
    15.16x = 20.96 × 14.31
  4. Step 4: Simplify right side
    15.16x = 299.94
  5. Step 5: Solve for x
    x = 299.94/15.16
  6. Step 6: Final answer
    x = 19.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.