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Finding the Fourth Proportional to 29.71, 41.00 and 20.50

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Solution

The fourth proportional to 29.71, 41.00 and 20.50 is: 28.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.71 : 41.00 = 20.50 : x
  2. Step 2: Convert to fraction form
    29.71/41.00 = 20.50/x
  3. Step 3: Cross multiply
    29.71x = 41.00 × 20.50
  4. Step 4: Simplify right side
    29.71x = 840.30
  5. Step 5: Solve for x
    x = 840.30/29.71
  6. Step 6: Final answer
    x = 28.29

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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.