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Finding the Fourth Proportional to 16.22, 24.30 and 9.80

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Solution

The fourth proportional to 16.22, 24.30 and 9.80 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.22 : 24.30 = 9.80 : x
  2. Step 2: Convert to fraction form
    16.22/24.30 = 9.80/x
  3. Step 3: Cross multiply
    16.22x = 24.30 × 9.80
  4. Step 4: Simplify right side
    16.22x = 238.14
  5. Step 5: Solve for x
    x = 238.14/16.22
  6. Step 6: Final answer
    x = 14.68

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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.