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Finding the Fourth Proportional to 14.23, 19.73 and 14.05

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Solution

The fourth proportional to 14.23, 19.73 and 14.05 is: 19.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.23 : 19.73 = 14.05 : x
  2. Step 2: Convert to fraction form
    14.23/19.73 = 14.05/x
  3. Step 3: Cross multiply
    14.23x = 19.73 × 14.05
  4. Step 4: Simplify right side
    14.23x = 277.11
  5. Step 5: Solve for x
    x = 277.11/14.23
  6. Step 6: Final answer
    x = 19.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.