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Finding the Fourth Proportional to 17.46, 23.97 and 16.70

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Solution

The fourth proportional to 17.46, 23.97 and 16.70 is: 22.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.46 : 23.97 = 16.70 : x
  2. Step 2: Convert to fraction form
    17.46/23.97 = 16.70/x
  3. Step 3: Cross multiply
    17.46x = 23.97 × 16.70
  4. Step 4: Simplify right side
    17.46x = 400.30
  5. Step 5: Solve for x
    x = 400.30/17.46
  6. Step 6: Final answer
    x = 22.93

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