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Finding the Fourth Proportional to 29.78, 41.09 and 16.67

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Solution

The fourth proportional to 29.78, 41.09 and 16.67 is: 23.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.78 : 41.09 = 16.67 : x
  2. Step 2: Convert to fraction form
    29.78/41.09 = 16.67/x
  3. Step 3: Cross multiply
    29.78x = 41.09 × 16.67
  4. Step 4: Simplify right side
    29.78x = 684.84
  5. Step 5: Solve for x
    x = 684.84/29.78
  6. Step 6: Final answer
    x = 23.00

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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.