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Finding the Fourth Proportional to 37.06, 51.44 and 35.57

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Solution

The fourth proportional to 37.06, 51.44 and 35.57 is: 49.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.06 : 51.44 = 35.57 : x
  2. Step 2: Convert to fraction form
    37.06/51.44 = 35.57/x
  3. Step 3: Cross multiply
    37.06x = 51.44 × 35.57
  4. Step 4: Simplify right side
    37.06x = 1,829.67
  5. Step 5: Solve for x
    x = 1,829.67/37.06
  6. Step 6: Final answer
    x = 49.37

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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.