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Finding the Fourth Proportional to 12.00, 16.53 and 11.49

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Solution

The fourth proportional to 12.00, 16.53 and 11.49 is: 15.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.00 : 16.53 = 11.49 : x
  2. Step 2: Convert to fraction form
    12.00/16.53 = 11.49/x
  3. Step 3: Cross multiply
    12.00x = 16.53 × 11.49
  4. Step 4: Simplify right side
    12.00x = 189.91
  5. Step 5: Solve for x
    x = 189.91/12.00
  6. Step 6: Final answer
    x = 15.83

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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.