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Finding the Fourth Proportional to 16.07, 23.96 and 14.27

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Solution

The fourth proportional to 16.07, 23.96 and 14.27 is: 21.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.07 : 23.96 = 14.27 : x
  2. Step 2: Convert to fraction form
    16.07/23.96 = 14.27/x
  3. Step 3: Cross multiply
    16.07x = 23.96 × 14.27
  4. Step 4: Simplify right side
    16.07x = 341.91
  5. Step 5: Solve for x
    x = 341.91/16.07
  6. Step 6: Final answer
    x = 21.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.