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Finding the Fourth Proportional to 29.90, 41.22 and 28.64

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Solution

The fourth proportional to 29.90, 41.22 and 28.64 is: 39.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.90 : 41.22 = 28.64 : x
  2. Step 2: Convert to fraction form
    29.90/41.22 = 28.64/x
  3. Step 3: Cross multiply
    29.90x = 41.22 × 28.64
  4. Step 4: Simplify right side
    29.90x = 1,180.33
  5. Step 5: Solve for x
    x = 1,180.33/29.90
  6. Step 6: Final answer
    x = 39.48

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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.