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Finding the Fourth Proportional to 16.07, 24.08 and 6.44

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Solution

The fourth proportional to 16.07, 24.08 and 6.44 is: 9.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.07 : 24.08 = 6.44 : x
  2. Step 2: Convert to fraction form
    16.07/24.08 = 6.44/x
  3. Step 3: Cross multiply
    16.07x = 24.08 × 6.44
  4. Step 4: Simplify right side
    16.07x = 154.92
  5. Step 5: Solve for x
    x = 154.92/16.07
  6. Step 6: Final answer
    x = 9.64

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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.