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Finding the Fourth Proportional to 14.13, 19.57 and 13.78

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Solution

The fourth proportional to 14.13, 19.57 and 13.78 is: 19.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.13 : 19.57 = 13.78 : x
  2. Step 2: Convert to fraction form
    14.13/19.57 = 13.78/x
  3. Step 3: Cross multiply
    14.13x = 19.57 × 13.78
  4. Step 4: Simplify right side
    14.13x = 269.64
  5. Step 5: Solve for x
    x = 269.64/14.13
  6. Step 6: Final answer
    x = 19.09

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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.