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Finding the Fourth Proportional to 14.53, 20.07 and 12.14

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Solution

The fourth proportional to 14.53, 20.07 and 12.14 is: 16.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.53 : 20.07 = 12.14 : x
  2. Step 2: Convert to fraction form
    14.53/20.07 = 12.14/x
  3. Step 3: Cross multiply
    14.53x = 20.07 × 12.14
  4. Step 4: Simplify right side
    14.53x = 243.65
  5. Step 5: Solve for x
    x = 243.65/14.53
  6. Step 6: Final answer
    x = 16.77

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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.