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Finding the Fourth Proportional to 29.74, 41.06 and 19.92

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Solution

The fourth proportional to 29.74, 41.06 and 19.92 is: 27.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.74 : 41.06 = 19.92 : x
  2. Step 2: Convert to fraction form
    29.74/41.06 = 19.92/x
  3. Step 3: Cross multiply
    29.74x = 41.06 × 19.92
  4. Step 4: Simplify right side
    29.74x = 817.66
  5. Step 5: Solve for x
    x = 817.66/29.74
  6. Step 6: Final answer
    x = 27.50

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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.