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Finding the Fourth Proportional to 39.36, 53.88 and 38.13

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Solution

The fourth proportional to 39.36, 53.88 and 38.13 is: 52.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.36 : 53.88 = 38.13 : x
  2. Step 2: Convert to fraction form
    39.36/53.88 = 38.13/x
  3. Step 3: Cross multiply
    39.36x = 53.88 × 38.13
  4. Step 4: Simplify right side
    39.36x = 2,054.44
  5. Step 5: Solve for x
    x = 2,054.44/39.36
  6. Step 6: Final answer
    x = 52.20

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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.