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Finding the Fourth Proportional to 19.75, 27.09 and 17.32

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Solution

The fourth proportional to 19.75, 27.09 and 17.32 is: 23.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.75 : 27.09 = 17.32 : x
  2. Step 2: Convert to fraction form
    19.75/27.09 = 17.32/x
  3. Step 3: Cross multiply
    19.75x = 27.09 × 17.32
  4. Step 4: Simplify right side
    19.75x = 469.07
  5. Step 5: Solve for x
    x = 469.07/19.75
  6. Step 6: Final answer
    x = 23.75

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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.