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Finding the Fourth Proportional to 37.51, 51.44 and 37.11

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Solution

The fourth proportional to 37.51, 51.44 and 37.11 is: 50.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.51 : 51.44 = 37.11 : x
  2. Step 2: Convert to fraction form
    37.51/51.44 = 37.11/x
  3. Step 3: Cross multiply
    37.51x = 51.44 × 37.11
  4. Step 4: Simplify right side
    37.51x = 1,908.66
  5. Step 5: Solve for x
    x = 1,908.66/37.51
  6. Step 6: Final answer
    x = 50.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.