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Finding the Fourth Proportional to 17.02, 23.82 and 17.02

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Solution

The fourth proportional to 17.02, 23.82 and 17.02 is: 23.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.02 : 23.82 = 17.02 : x
  2. Step 2: Convert to fraction form
    17.02/23.82 = 17.02/x
  3. Step 3: Cross multiply
    17.02x = 23.82 × 17.02
  4. Step 4: Simplify right side
    17.02x = 405.42
  5. Step 5: Solve for x
    x = 405.42/17.02
  6. Step 6: Final answer
    x = 23.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.