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Finding the Fourth Proportional to 29.64, 41.09 and 29.22

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Solution

The fourth proportional to 29.64, 41.09 and 29.22 is: 40.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 41.09 = 29.22 : x
  2. Step 2: Convert to fraction form
    29.64/41.09 = 29.22/x
  3. Step 3: Cross multiply
    29.64x = 41.09 × 29.22
  4. Step 4: Simplify right side
    29.64x = 1,200.65
  5. Step 5: Solve for x
    x = 1,200.65/29.64
  6. Step 6: Final answer
    x = 40.51

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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.