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Finding the Fourth Proportional to 17.32, 23.90 and 14.23

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Solution

The fourth proportional to 17.32, 23.90 and 14.23 is: 19.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.32 : 23.90 = 14.23 : x
  2. Step 2: Convert to fraction form
    17.32/23.90 = 14.23/x
  3. Step 3: Cross multiply
    17.32x = 23.90 × 14.23
  4. Step 4: Simplify right side
    17.32x = 340.10
  5. Step 5: Solve for x
    x = 340.10/17.32
  6. Step 6: Final answer
    x = 19.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.