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Finding the Fourth Proportional to 17.50, 23.97 and 17.46

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Solution

The fourth proportional to 17.50, 23.97 and 17.46 is: 23.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.50 : 23.97 = 17.46 : x
  2. Step 2: Convert to fraction form
    17.50/23.97 = 17.46/x
  3. Step 3: Cross multiply
    17.50x = 23.97 × 17.46
  4. Step 4: Simplify right side
    17.50x = 418.52
  5. Step 5: Solve for x
    x = 418.52/17.50
  6. Step 6: Final answer
    x = 23.92

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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.