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Finding the Fourth Proportional to 16.07, 24.26 and 15.73

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Solution

The fourth proportional to 16.07, 24.26 and 15.73 is: 23.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.07 : 24.26 = 15.73 : x
  2. Step 2: Convert to fraction form
    16.07/24.26 = 15.73/x
  3. Step 3: Cross multiply
    16.07x = 24.26 × 15.73
  4. Step 4: Simplify right side
    16.07x = 381.61
  5. Step 5: Solve for x
    x = 381.61/16.07
  6. Step 6: Final answer
    x = 23.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.