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Finding the Fourth Proportional to 14.01, 19.16 and 13.78

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Solution

The fourth proportional to 14.01, 19.16 and 13.78 is: 18.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.01 : 19.16 = 13.78 : x
  2. Step 2: Convert to fraction form
    14.01/19.16 = 13.78/x
  3. Step 3: Cross multiply
    14.01x = 19.16 × 13.78
  4. Step 4: Simplify right side
    14.01x = 264.02
  5. Step 5: Solve for x
    x = 264.02/14.01
  6. Step 6: Final answer
    x = 18.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.