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Finding the Fourth Proportional to 22.59, 33.83 and 16.86

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Solution

The fourth proportional to 22.59, 33.83 and 16.86 is: 25.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 33.83 = 16.86 : x
  2. Step 2: Convert to fraction form
    22.59/33.83 = 16.86/x
  3. Step 3: Cross multiply
    22.59x = 33.83 × 16.86
  4. Step 4: Simplify right side
    22.59x = 570.37
  5. Step 5: Solve for x
    x = 570.37/22.59
  6. Step 6: Final answer
    x = 25.25

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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.