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Finding the Fourth Proportional to 24.05, 36.07 and 9.80

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Solution

The fourth proportional to 24.05, 36.07 and 9.80 is: 14.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.05 : 36.07 = 9.80 : x
  2. Step 2: Convert to fraction form
    24.05/36.07 = 9.80/x
  3. Step 3: Cross multiply
    24.05x = 36.07 × 9.80
  4. Step 4: Simplify right side
    24.05x = 353.28
  5. Step 5: Solve for x
    x = 353.28/24.05
  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.