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Finding the Fourth Proportional to 30.11, 41.48 and 23.19

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Solution

The fourth proportional to 30.11, 41.48 and 23.19 is: 31.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.11 : 41.48 = 23.19 : x
  2. Step 2: Convert to fraction form
    30.11/41.48 = 23.19/x
  3. Step 3: Cross multiply
    30.11x = 41.48 × 23.19
  4. Step 4: Simplify right side
    30.11x = 961.74
  5. Step 5: Solve for x
    x = 961.74/30.11
  6. Step 6: Final answer
    x = 31.95

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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.