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Finding the Fourth Proportional to 14.09, 19.46 and 13.82

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Solution

The fourth proportional to 14.09, 19.46 and 13.82 is: 19.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.09 : 19.46 = 13.82 : x
  2. Step 2: Convert to fraction form
    14.09/19.46 = 13.82/x
  3. Step 3: Cross multiply
    14.09x = 19.46 × 13.82
  4. Step 4: Simplify right side
    14.09x = 268.94
  5. Step 5: Solve for x
    x = 268.94/14.09
  6. Step 6: Final answer
    x = 19.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.