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Finding the Fourth Proportional to 29.75, 41.06 and 16.82

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Solution

The fourth proportional to 29.75, 41.06 and 16.82 is: 23.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 41.06 = 16.82 : x
  2. Step 2: Convert to fraction form
    29.75/41.06 = 16.82/x
  3. Step 3: Cross multiply
    29.75x = 41.06 × 16.82
  4. Step 4: Simplify right side
    29.75x = 690.34
  5. Step 5: Solve for x
    x = 690.34/29.75
  6. Step 6: Final answer
    x = 23.20

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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.