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Finding the Fourth Proportional to 39.64, 54.44 and 33.16

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Solution

The fourth proportional to 39.64, 54.44 and 33.16 is: 45.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.64 : 54.44 = 33.16 : x
  2. Step 2: Convert to fraction form
    39.64/54.44 = 33.16/x
  3. Step 3: Cross multiply
    39.64x = 54.44 × 33.16
  4. Step 4: Simplify right side
    39.64x = 1,805.23
  5. Step 5: Solve for x
    x = 1,805.23/39.64
  6. Step 6: Final answer
    x = 45.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.