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Finding the Fourth Proportional to 17.06, 25.44 and 16.04

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Solution

The fourth proportional to 17.06, 25.44 and 16.04 is: 23.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.06 : 25.44 = 16.04 : x
  2. Step 2: Convert to fraction form
    17.06/25.44 = 16.04/x
  3. Step 3: Cross multiply
    17.06x = 25.44 × 16.04
  4. Step 4: Simplify right side
    17.06x = 408.06
  5. Step 5: Solve for x
    x = 408.06/17.06
  6. Step 6: Final answer
    x = 23.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.