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Finding the Fourth Proportional to 36.20, 54.02 and 35.48

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Solution

The fourth proportional to 36.20, 54.02 and 35.48 is: 52.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.20 : 54.02 = 35.48 : x
  2. Step 2: Convert to fraction form
    36.20/54.02 = 35.48/x
  3. Step 3: Cross multiply
    36.20x = 54.02 × 35.48
  4. Step 4: Simplify right side
    36.20x = 1,916.63
  5. Step 5: Solve for x
    x = 1,916.63/36.20
  6. Step 6: Final answer
    x = 52.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.