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Finding the Fourth Proportional to 15.22, 22.80 and 9.80

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Solution

The fourth proportional to 15.22, 22.80 and 9.80 is: 14.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.22 : 22.80 = 9.80 : x
  2. Step 2: Convert to fraction form
    15.22/22.80 = 9.80/x
  3. Step 3: Cross multiply
    15.22x = 22.80 × 9.80
  4. Step 4: Simplify right side
    15.22x = 223.44
  5. Step 5: Solve for x
    x = 223.44/15.22
  6. Step 6: Final answer
    x = 14.69

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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.