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Finding the Fourth Proportional to 29.68, 41.24 and 29.31

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Solution

The fourth proportional to 29.68, 41.24 and 29.31 is: 40.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.68 : 41.24 = 29.31 : x
  2. Step 2: Convert to fraction form
    29.68/41.24 = 29.31/x
  3. Step 3: Cross multiply
    29.68x = 41.24 × 29.31
  4. Step 4: Simplify right side
    29.68x = 1,208.90
  5. Step 5: Solve for x
    x = 1,208.90/29.68
  6. Step 6: Final answer
    x = 40.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.