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Finding the Fourth Proportional to 22.59, 33.86 and 8.86

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Solution

The fourth proportional to 22.59, 33.86 and 8.86 is: 13.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 33.86 = 8.86 : x
  2. Step 2: Convert to fraction form
    22.59/33.86 = 8.86/x
  3. Step 3: Cross multiply
    22.59x = 33.86 × 8.86
  4. Step 4: Simplify right side
    22.59x = 299.81
  5. Step 5: Solve for x
    x = 299.81/22.59
  6. Step 6: Final answer
    x = 13.27

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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.