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Finding the Fourth Proportional to 16.02, 24.01 and 9.27

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Solution

The fourth proportional to 16.02, 24.01 and 9.27 is: 13.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.02 : 24.01 = 9.27 : x
  2. Step 2: Convert to fraction form
    16.02/24.01 = 9.27/x
  3. Step 3: Cross multiply
    16.02x = 24.01 × 9.27
  4. Step 4: Simplify right side
    16.02x = 222.55
  5. Step 5: Solve for x
    x = 222.55/16.02
  6. Step 6: Final answer
    x = 13.89

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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.