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Finding the Fourth Proportional to 41.12, 56.74 and 22.69

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Solution

The fourth proportional to 41.12, 56.74 and 22.69 is: 31.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.12 : 56.74 = 22.69 : x
  2. Step 2: Convert to fraction form
    41.12/56.74 = 22.69/x
  3. Step 3: Cross multiply
    41.12x = 56.74 × 22.69
  4. Step 4: Simplify right side
    41.12x = 1,287.59
  5. Step 5: Solve for x
    x = 1,287.59/41.12
  6. Step 6: Final answer
    x = 31.32

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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.