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Finding the Fourth Proportional to 37.51, 56.22 and 30.76

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Solution

The fourth proportional to 37.51, 56.22 and 30.76 is: 46.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.51 : 56.22 = 30.76 : x
  2. Step 2: Convert to fraction form
    37.51/56.22 = 30.76/x
  3. Step 3: Cross multiply
    37.51x = 56.22 × 30.76
  4. Step 4: Simplify right side
    37.51x = 1,729.33
  5. Step 5: Solve for x
    x = 1,729.33/37.51
  6. Step 6: Final answer
    x = 46.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.