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Finding the Fourth Proportional to 39.63, 54.65 and 30.41

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Solution

The fourth proportional to 39.63, 54.65 and 30.41 is: 41.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.63 : 54.65 = 30.41 : x
  2. Step 2: Convert to fraction form
    39.63/54.65 = 30.41/x
  3. Step 3: Cross multiply
    39.63x = 54.65 × 30.41
  4. Step 4: Simplify right side
    39.63x = 1,661.48
  5. Step 5: Solve for x
    x = 1,661.48/39.63
  6. Step 6: Final answer
    x = 41.92

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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.