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Finding the Fourth Proportional to 16.89, 23.32 and 13.98

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Solution

The fourth proportional to 16.89, 23.32 and 13.98 is: 19.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.89 : 23.32 = 13.98 : x
  2. Step 2: Convert to fraction form
    16.89/23.32 = 13.98/x
  3. Step 3: Cross multiply
    16.89x = 23.32 × 13.98
  4. Step 4: Simplify right side
    16.89x = 326.05
  5. Step 5: Solve for x
    x = 326.05/16.89
  6. Step 6: Final answer
    x = 19.31

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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.