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Finding the Fourth Proportional to 16.05, 24.09 and 9.64

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Solution

The fourth proportional to 16.05, 24.09 and 9.64 is: 14.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.05 : 24.09 = 9.64 : x
  2. Step 2: Convert to fraction form
    16.05/24.09 = 9.64/x
  3. Step 3: Cross multiply
    16.05x = 24.09 × 9.64
  4. Step 4: Simplify right side
    16.05x = 232.23
  5. Step 5: Solve for x
    x = 232.23/16.05
  6. Step 6: Final answer
    x = 14.47

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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.