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Finding the Fourth Proportional to 41.63, 57.42 and 30.71

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Solution

The fourth proportional to 41.63, 57.42 and 30.71 is: 42.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.63 : 57.42 = 30.71 : x
  2. Step 2: Convert to fraction form
    41.63/57.42 = 30.71/x
  3. Step 3: Cross multiply
    41.63x = 57.42 × 30.71
  4. Step 4: Simplify right side
    41.63x = 1,763.08
  5. Step 5: Solve for x
    x = 1,763.08/41.63
  6. Step 6: Final answer
    x = 42.36

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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.