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Finding the Fourth Proportional to 14.42, 21.66 and 11.44

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Solution

The fourth proportional to 14.42, 21.66 and 11.44 is: 17.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.42 : 21.66 = 11.44 : x
  2. Step 2: Convert to fraction form
    14.42/21.66 = 11.44/x
  3. Step 3: Cross multiply
    14.42x = 21.66 × 11.44
  4. Step 4: Simplify right side
    14.42x = 247.77
  5. Step 5: Solve for x
    x = 247.77/14.42
  6. Step 6: Final answer
    x = 17.18

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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.