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Finding the Fourth Proportional to 37.64, 52.04 and 37.28

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Solution

The fourth proportional to 37.64, 52.04 and 37.28 is: 51.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.64 : 52.04 = 37.28 : x
  2. Step 2: Convert to fraction form
    37.64/52.04 = 37.28/x
  3. Step 3: Cross multiply
    37.64x = 52.04 × 37.28
  4. Step 4: Simplify right side
    37.64x = 1,940.05
  5. Step 5: Solve for x
    x = 1,940.05/37.64
  6. Step 6: Final answer
    x = 51.54

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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.