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Finding the Fourth Proportional to 14.68, 20.25 and 9.82

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Solution

The fourth proportional to 14.68, 20.25 and 9.82 is: 13.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.68 : 20.25 = 9.82 : x
  2. Step 2: Convert to fraction form
    14.68/20.25 = 9.82/x
  3. Step 3: Cross multiply
    14.68x = 20.25 × 9.82
  4. Step 4: Simplify right side
    14.68x = 198.80
  5. Step 5: Solve for x
    x = 198.80/14.68
  6. Step 6: Final answer
    x = 13.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.