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Finding the Fourth Proportional to 17, 23.46 and 16.80

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Solution

The fourth proportional to 17, 23.46 and 16.80 is: 23.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17 : 23.46 = 16.80 : x
  2. Step 2: Convert to fraction form
    17/23.46 = 16.80/x
  3. Step 3: Cross multiply
    17x = 23.46 × 16.80
  4. Step 4: Simplify right side
    17x = 394.13
  5. Step 5: Solve for x
    x = 394.13/17
  6. Step 6: Final answer
    x = 23.18

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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.