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Finding the Fourth Proportional to 22.60, 33.84 and 13.57

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Solution

The fourth proportional to 22.60, 33.84 and 13.57 is: 20.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.60 : 33.84 = 13.57 : x
  2. Step 2: Convert to fraction form
    22.60/33.84 = 13.57/x
  3. Step 3: Cross multiply
    22.60x = 33.84 × 13.57
  4. Step 4: Simplify right side
    22.60x = 459.21
  5. Step 5: Solve for x
    x = 459.21/22.60
  6. Step 6: Final answer
    x = 20.32

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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.