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Finding the Fourth Proportional to 29.72, 41.00 and 16.78

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Solution

The fourth proportional to 29.72, 41.00 and 16.78 is: 23.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.72 : 41.00 = 16.78 : x
  2. Step 2: Convert to fraction form
    29.72/41.00 = 16.78/x
  3. Step 3: Cross multiply
    29.72x = 41.00 × 16.78
  4. Step 4: Simplify right side
    29.72x = 687.84
  5. Step 5: Solve for x
    x = 687.84/29.72
  6. Step 6: Final answer
    x = 23.15

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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.