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Finding the Fourth Proportional to 29.45, 40.56 and 20.23

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Solution

The fourth proportional to 29.45, 40.56 and 20.23 is: 27.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.45 : 40.56 = 20.23 : x
  2. Step 2: Convert to fraction form
    29.45/40.56 = 20.23/x
  3. Step 3: Cross multiply
    29.45x = 40.56 × 20.23
  4. Step 4: Simplify right side
    29.45x = 820.43
  5. Step 5: Solve for x
    x = 820.43/29.45
  6. Step 6: Final answer
    x = 27.86

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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.