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Finding the Fourth Proportional to 16.73, 23.06 and 14.00

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Solution

The fourth proportional to 16.73, 23.06 and 14.00 is: 19.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.73 : 23.06 = 14.00 : x
  2. Step 2: Convert to fraction form
    16.73/23.06 = 14.00/x
  3. Step 3: Cross multiply
    16.73x = 23.06 × 14.00
  4. Step 4: Simplify right side
    16.73x = 322.65
  5. Step 5: Solve for x
    x = 322.65/16.73
  6. Step 6: Final answer
    x = 19.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.