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Finding the Fourth Proportional to 18.23, 25.14 and 16.13

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Solution

The fourth proportional to 18.23, 25.14 and 16.13 is: 22.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.23 : 25.14 = 16.13 : x
  2. Step 2: Convert to fraction form
    18.23/25.14 = 16.13/x
  3. Step 3: Cross multiply
    18.23x = 25.14 × 16.13
  4. Step 4: Simplify right side
    18.23x = 405.62
  5. Step 5: Solve for x
    x = 405.62/18.23
  6. Step 6: Final answer
    x = 22.25

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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.