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Finding the Fourth Proportional to 41.23, 56.89 and 22.81

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Solution

The fourth proportional to 41.23, 56.89 and 22.81 is: 31.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.23 : 56.89 = 22.81 : x
  2. Step 2: Convert to fraction form
    41.23/56.89 = 22.81/x
  3. Step 3: Cross multiply
    41.23x = 56.89 × 22.81
  4. Step 4: Simplify right side
    41.23x = 1,297.35
  5. Step 5: Solve for x
    x = 1,297.35/41.23
  6. Step 6: Final answer
    x = 31.47

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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.