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Finding the Fourth Proportional to 38.04, 52.46 and 27.12

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Solution

The fourth proportional to 38.04, 52.46 and 27.12 is: 37.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.04 : 52.46 = 27.12 : x
  2. Step 2: Convert to fraction form
    38.04/52.46 = 27.12/x
  3. Step 3: Cross multiply
    38.04x = 52.46 × 27.12
  4. Step 4: Simplify right side
    38.04x = 1,422.72
  5. Step 5: Solve for x
    x = 1,422.72/38.04
  6. Step 6: Final answer
    x = 37.40

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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.