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Finding the Fourth Proportional to 14.60, 21.86 and 11.21

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Solution

The fourth proportional to 14.60, 21.86 and 11.21 is: 16.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.60 : 21.86 = 11.21 : x
  2. Step 2: Convert to fraction form
    14.60/21.86 = 11.21/x
  3. Step 3: Cross multiply
    14.60x = 21.86 × 11.21
  4. Step 4: Simplify right side
    14.60x = 244.94
  5. Step 5: Solve for x
    x = 244.94/14.60
  6. Step 6: Final answer
    x = 16.78

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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.