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Finding the Fourth Proportional to 19.67, 27.07 and 17.08

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Solution

The fourth proportional to 19.67, 27.07 and 17.08 is: 23.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.67 : 27.07 = 17.08 : x
  2. Step 2: Convert to fraction form
    19.67/27.07 = 17.08/x
  3. Step 3: Cross multiply
    19.67x = 27.07 × 17.08
  4. Step 4: Simplify right side
    19.67x = 462.25
  5. Step 5: Solve for x
    x = 462.25/19.67
  6. Step 6: Final answer
    x = 23.51

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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.