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Finding the Fourth Proportional to 16.41, 24.58 and 7.83

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Solution

The fourth proportional to 16.41, 24.58 and 7.83 is: 11.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.41 : 24.58 = 7.83 : x
  2. Step 2: Convert to fraction form
    16.41/24.58 = 7.83/x
  3. Step 3: Cross multiply
    16.41x = 24.58 × 7.83
  4. Step 4: Simplify right side
    16.41x = 192.44
  5. Step 5: Solve for x
    x = 192.44/16.41
  6. Step 6: Final answer
    x = 11.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.