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Finding the Fourth Proportional to 16.02, 24.06 and 11.97

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Solution

The fourth proportional to 16.02, 24.06 and 11.97 is: 17.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.02 : 24.06 = 11.97 : x
  2. Step 2: Convert to fraction form
    16.02/24.06 = 11.97/x
  3. Step 3: Cross multiply
    16.02x = 24.06 × 11.97
  4. Step 4: Simplify right side
    16.02x = 288.00
  5. Step 5: Solve for x
    x = 288.00/16.02
  6. Step 6: Final answer
    x = 17.98

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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.