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Finding the Fourth Proportional to 41.78, 57.66 and 25.41

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Solution

The fourth proportional to 41.78, 57.66 and 25.41 is: 35.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.78 : 57.66 = 25.41 : x
  2. Step 2: Convert to fraction form
    41.78/57.66 = 25.41/x
  3. Step 3: Cross multiply
    41.78x = 57.66 × 25.41
  4. Step 4: Simplify right side
    41.78x = 1,465.36
  5. Step 5: Solve for x
    x = 1,465.36/41.78
  6. Step 6: Final answer
    x = 35.07

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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.