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Finding the Fourth Proportional to 14.14, 19.52 and 8.00

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Solution

The fourth proportional to 14.14, 19.52 and 8.00 is: 11.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.14 : 19.52 = 8.00 : x
  2. Step 2: Convert to fraction form
    14.14/19.52 = 8.00/x
  3. Step 3: Cross multiply
    14.14x = 19.52 × 8.00
  4. Step 4: Simplify right side
    14.14x = 156.19
  5. Step 5: Solve for x
    x = 156.19/14.14
  6. Step 6: Final answer
    x = 11.04

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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.