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Finding the Fourth Proportional to 23.32, 34.99 and 9.80

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Solution

The fourth proportional to 23.32, 34.99 and 9.80 is: 14.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.32 : 34.99 = 9.80 : x
  2. Step 2: Convert to fraction form
    23.32/34.99 = 9.80/x
  3. Step 3: Cross multiply
    23.32x = 34.99 × 9.80
  4. Step 4: Simplify right side
    23.32x = 343.09
  5. Step 5: Solve for x
    x = 343.09/23.32
  6. Step 6: Final answer
    x = 14.71

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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.