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Finding the Fourth Proportional to 14.02, 21.06 and 13.09

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Solution

The fourth proportional to 14.02, 21.06 and 13.09 is: 19.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.02 : 21.06 = 13.09 : x
  2. Step 2: Convert to fraction form
    14.02/21.06 = 13.09/x
  3. Step 3: Cross multiply
    14.02x = 21.06 × 13.09
  4. Step 4: Simplify right side
    14.02x = 275.68
  5. Step 5: Solve for x
    x = 275.68/14.02
  6. Step 6: Final answer
    x = 19.66

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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.