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Finding the Fourth Proportional to 16.07, 23.96 and 15.71

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Solution

The fourth proportional to 16.07, 23.96 and 15.71 is: 23.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.07 : 23.96 = 15.71 : x
  2. Step 2: Convert to fraction form
    16.07/23.96 = 15.71/x
  3. Step 3: Cross multiply
    16.07x = 23.96 × 15.71
  4. Step 4: Simplify right side
    16.07x = 376.21
  5. Step 5: Solve for x
    x = 376.21/16.07
  6. Step 6: Final answer
    x = 23.42

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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.