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Finding the Fourth Proportional to 30, 41.44 and 19.12

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Solution

The fourth proportional to 30, 41.44 and 19.12 is: 26.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 41.44 = 19.12 : x
  2. Step 2: Convert to fraction form
    30/41.44 = 19.12/x
  3. Step 3: Cross multiply
    30x = 41.44 × 19.12
  4. Step 4: Simplify right side
    30x = 792.33
  5. Step 5: Solve for x
    x = 792.33/30
  6. Step 6: Final answer
    x = 26.41

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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.