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Finding the Fourth Proportional to 19.62, 29.57 and 19.22

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Solution

The fourth proportional to 19.62, 29.57 and 19.22 is: 28.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.62 : 29.57 = 19.22 : x
  2. Step 2: Convert to fraction form
    19.62/29.57 = 19.22/x
  3. Step 3: Cross multiply
    19.62x = 29.57 × 19.22
  4. Step 4: Simplify right side
    19.62x = 568.09
  5. Step 5: Solve for x
    x = 568.09/19.62
  6. Step 6: Final answer
    x = 28.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.