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Finding the Fourth Proportional to 29.73, 41.02 and 22.81

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Solution

The fourth proportional to 29.73, 41.02 and 22.81 is: 31.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.73 : 41.02 = 22.81 : x
  2. Step 2: Convert to fraction form
    29.73/41.02 = 22.81/x
  3. Step 3: Cross multiply
    29.73x = 41.02 × 22.81
  4. Step 4: Simplify right side
    29.73x = 935.67
  5. Step 5: Solve for x
    x = 935.67/29.73
  6. Step 6: Final answer
    x = 31.47

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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.