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Finding the Fourth Proportional to 22.60, 33.87 and 16.49

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Solution

The fourth proportional to 22.60, 33.87 and 16.49 is: 24.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.60 : 33.87 = 16.49 : x
  2. Step 2: Convert to fraction form
    22.60/33.87 = 16.49/x
  3. Step 3: Cross multiply
    22.60x = 33.87 × 16.49
  4. Step 4: Simplify right side
    22.60x = 558.66
  5. Step 5: Solve for x
    x = 558.66/22.60
  6. Step 6: Final answer
    x = 24.72

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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.