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Finding the Fourth Proportional to 39.75, 54.75 and 38.01

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Solution

The fourth proportional to 39.75, 54.75 and 38.01 is: 52.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 54.75 = 38.01 : x
  2. Step 2: Convert to fraction form
    39.75/54.75 = 38.01/x
  3. Step 3: Cross multiply
    39.75x = 54.75 × 38.01
  4. Step 4: Simplify right side
    39.75x = 2,081.05
  5. Step 5: Solve for x
    x = 2,081.05/39.75
  6. Step 6: Final answer
    x = 52.35

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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.