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Finding the Fourth Proportional to 41.35, 57.09 and 30.46

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Solution

The fourth proportional to 41.35, 57.09 and 30.46 is: 42.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.35 : 57.09 = 30.46 : x
  2. Step 2: Convert to fraction form
    41.35/57.09 = 30.46/x
  3. Step 3: Cross multiply
    41.35x = 57.09 × 30.46
  4. Step 4: Simplify right side
    41.35x = 1,738.81
  5. Step 5: Solve for x
    x = 1,738.81/41.35
  6. Step 6: Final answer
    x = 42.05

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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.