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Finding the Fourth Proportional to 16.83, 23.09 and 16.70

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Solution

The fourth proportional to 16.83, 23.09 and 16.70 is: 22.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.83 : 23.09 = 16.70 : x
  2. Step 2: Convert to fraction form
    16.83/23.09 = 16.70/x
  3. Step 3: Cross multiply
    16.83x = 23.09 × 16.70
  4. Step 4: Simplify right side
    16.83x = 385.40
  5. Step 5: Solve for x
    x = 385.40/16.83
  6. Step 6: Final answer
    x = 22.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.