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Finding the Fourth Proportional to 12.53, 17.29 and 9.80

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Solution

The fourth proportional to 12.53, 17.29 and 9.80 is: 13.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.53 : 17.29 = 9.80 : x
  2. Step 2: Convert to fraction form
    12.53/17.29 = 9.80/x
  3. Step 3: Cross multiply
    12.53x = 17.29 × 9.80
  4. Step 4: Simplify right side
    12.53x = 169.44
  5. Step 5: Solve for x
    x = 169.44/12.53
  6. Step 6: Final answer
    x = 13.52

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