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Finding the Fourth Proportional to 41.40, 56.94 and 40.56

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Solution

The fourth proportional to 41.40, 56.94 and 40.56 is: 55.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.40 : 56.94 = 40.56 : x
  2. Step 2: Convert to fraction form
    41.40/56.94 = 40.56/x
  3. Step 3: Cross multiply
    41.40x = 56.94 × 40.56
  4. Step 4: Simplify right side
    41.40x = 2,309.49
  5. Step 5: Solve for x
    x = 2,309.49/41.40
  6. Step 6: Final answer
    x = 55.78

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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.