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Finding the Fourth Proportional to 14.96, 20.64 and 11.73

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Solution

The fourth proportional to 14.96, 20.64 and 11.73 is: 16.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.96 : 20.64 = 11.73 : x
  2. Step 2: Convert to fraction form
    14.96/20.64 = 11.73/x
  3. Step 3: Cross multiply
    14.96x = 20.64 × 11.73
  4. Step 4: Simplify right side
    14.96x = 242.11
  5. Step 5: Solve for x
    x = 242.11/14.96
  6. Step 6: Final answer
    x = 16.19

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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.