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Finding the Fourth Proportional to 19.69, 26.98 and 19.42

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Solution

The fourth proportional to 19.69, 26.98 and 19.42 is: 26.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.69 : 26.98 = 19.42 : x
  2. Step 2: Convert to fraction form
    19.69/26.98 = 19.42/x
  3. Step 3: Cross multiply
    19.69x = 26.98 × 19.42
  4. Step 4: Simplify right side
    19.69x = 523.84
  5. Step 5: Solve for x
    x = 523.84/19.69
  6. Step 6: Final answer
    x = 26.61

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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.