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Finding the Fourth Proportional to 14.54, 20.08 and 11.50

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Solution

The fourth proportional to 14.54, 20.08 and 11.50 is: 15.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.54 : 20.08 = 11.50 : x
  2. Step 2: Convert to fraction form
    14.54/20.08 = 11.50/x
  3. Step 3: Cross multiply
    14.54x = 20.08 × 11.50
  4. Step 4: Simplify right side
    14.54x = 230.92
  5. Step 5: Solve for x
    x = 230.92/14.54
  6. Step 6: Final answer
    x = 15.88

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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.