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Finding the Fourth Proportional to 14.00, 20.96 and 11.57

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Solution

The fourth proportional to 14.00, 20.96 and 11.57 is: 17.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.00 : 20.96 = 11.57 : x
  2. Step 2: Convert to fraction form
    14.00/20.96 = 11.57/x
  3. Step 3: Cross multiply
    14.00x = 20.96 × 11.57
  4. Step 4: Simplify right side
    14.00x = 242.59
  5. Step 5: Solve for x
    x = 242.59/14.00
  6. Step 6: Final answer
    x = 17.32

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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.