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Finding the Fourth Proportional to 14.56, 20.07 and 12.13

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Solution

The fourth proportional to 14.56, 20.07 and 12.13 is: 16.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.56 : 20.07 = 12.13 : x
  2. Step 2: Convert to fraction form
    14.56/20.07 = 12.13/x
  3. Step 3: Cross multiply
    14.56x = 20.07 × 12.13
  4. Step 4: Simplify right side
    14.56x = 243.40
  5. Step 5: Solve for x
    x = 243.40/14.56
  6. Step 6: Final answer
    x = 16.72

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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.