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Finding the Fourth Proportional to 29.73, 41.09 and 23.61

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Solution

The fourth proportional to 29.73, 41.09 and 23.61 is: 32.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.73 : 41.09 = 23.61 : x
  2. Step 2: Convert to fraction form
    29.73/41.09 = 23.61/x
  3. Step 3: Cross multiply
    29.73x = 41.09 × 23.61
  4. Step 4: Simplify right side
    29.73x = 970.02
  5. Step 5: Solve for x
    x = 970.02/29.73
  6. Step 6: Final answer
    x = 32.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.