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Finding the Fourth Proportional to 37.88, 56.74 and 30.64

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Solution

The fourth proportional to 37.88, 56.74 and 30.64 is: 45.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.88 : 56.74 = 30.64 : x
  2. Step 2: Convert to fraction form
    37.88/56.74 = 30.64/x
  3. Step 3: Cross multiply
    37.88x = 56.74 × 30.64
  4. Step 4: Simplify right side
    37.88x = 1,738.51
  5. Step 5: Solve for x
    x = 1,738.51/37.88
  6. Step 6: Final answer
    x = 45.90

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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.