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Finding the Fourth Proportional to 20.08, 30.14 and 14.08

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Solution

The fourth proportional to 20.08, 30.14 and 14.08 is: 21.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.08 : 30.14 = 14.08 : x
  2. Step 2: Convert to fraction form
    20.08/30.14 = 14.08/x
  3. Step 3: Cross multiply
    20.08x = 30.14 × 14.08
  4. Step 4: Simplify right side
    20.08x = 424.37
  5. Step 5: Solve for x
    x = 424.37/20.08
  6. Step 6: Final answer
    x = 21.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.