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Finding the Fourth Proportional to 19.84, 27.19 and 19.56

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Solution

The fourth proportional to 19.84, 27.19 and 19.56 is: 26.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.84 : 27.19 = 19.56 : x
  2. Step 2: Convert to fraction form
    19.84/27.19 = 19.56/x
  3. Step 3: Cross multiply
    19.84x = 27.19 × 19.56
  4. Step 4: Simplify right side
    19.84x = 531.84
  5. Step 5: Solve for x
    x = 531.84/19.84
  6. Step 6: Final answer
    x = 26.81

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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.