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Finding the Fourth Proportional to 38.64, 53.54 and 38.12

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Solution

The fourth proportional to 38.64, 53.54 and 38.12 is: 52.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.64 : 53.54 = 38.12 : x
  2. Step 2: Convert to fraction form
    38.64/53.54 = 38.12/x
  3. Step 3: Cross multiply
    38.64x = 53.54 × 38.12
  4. Step 4: Simplify right side
    38.64x = 2,040.94
  5. Step 5: Solve for x
    x = 2,040.94/38.64
  6. Step 6: Final answer
    x = 52.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.