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Finding the Fourth Proportional to 29.75, 41.00 and 23.22

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Solution

The fourth proportional to 29.75, 41.00 and 23.22 is: 32.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 41.00 = 23.22 : x
  2. Step 2: Convert to fraction form
    29.75/41.00 = 23.22/x
  3. Step 3: Cross multiply
    29.75x = 41.00 × 23.22
  4. Step 4: Simplify right side
    29.75x = 951.90
  5. Step 5: Solve for x
    x = 951.90/29.75
  6. Step 6: Final answer
    x = 32.00

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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.