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Finding the Fourth Proportional to 14.66, 20.34 and 14.06

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Solution

The fourth proportional to 14.66, 20.34 and 14.06 is: 19.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.66 : 20.34 = 14.06 : x
  2. Step 2: Convert to fraction form
    14.66/20.34 = 14.06/x
  3. Step 3: Cross multiply
    14.66x = 20.34 × 14.06
  4. Step 4: Simplify right side
    14.66x = 285.98
  5. Step 5: Solve for x
    x = 285.98/14.66
  6. Step 6: Final answer
    x = 19.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.