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Finding the Fourth Proportional to 37.24, 51.28 and 28.06

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Solution

The fourth proportional to 37.24, 51.28 and 28.06 is: 38.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.24 : 51.28 = 28.06 : x
  2. Step 2: Convert to fraction form
    37.24/51.28 = 28.06/x
  3. Step 3: Cross multiply
    37.24x = 51.28 × 28.06
  4. Step 4: Simplify right side
    37.24x = 1,438.92
  5. Step 5: Solve for x
    x = 1,438.92/37.24
  6. Step 6: Final answer
    x = 38.64

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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.