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Finding the Fourth Proportional to 29.69, 40.99 and 20.50

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Solution

The fourth proportional to 29.69, 40.99 and 20.50 is: 28.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.69 : 40.99 = 20.50 : x
  2. Step 2: Convert to fraction form
    29.69/40.99 = 20.50/x
  3. Step 3: Cross multiply
    29.69x = 40.99 × 20.50
  4. Step 4: Simplify right side
    29.69x = 840.14
  5. Step 5: Solve for x
    x = 840.14/29.69
  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.