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Finding the Fourth Proportional to 16.83, 25.23 and 11.77

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Solution

The fourth proportional to 16.83, 25.23 and 11.77 is: 17.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.83 : 25.23 = 11.77 : x
  2. Step 2: Convert to fraction form
    16.83/25.23 = 11.77/x
  3. Step 3: Cross multiply
    16.83x = 25.23 × 11.77
  4. Step 4: Simplify right side
    16.83x = 296.96
  5. Step 5: Solve for x
    x = 296.96/16.83
  6. Step 6: Final answer
    x = 17.64

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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.