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Finding the Fourth Proportional to 37.70, 51.98 and 33.64

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Solution

The fourth proportional to 37.70, 51.98 and 33.64 is: 46.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.70 : 51.98 = 33.64 : x
  2. Step 2: Convert to fraction form
    37.70/51.98 = 33.64/x
  3. Step 3: Cross multiply
    37.70x = 51.98 × 33.64
  4. Step 4: Simplify right side
    37.70x = 1,748.61
  5. Step 5: Solve for x
    x = 1,748.61/37.70
  6. Step 6: Final answer
    x = 46.38

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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.