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Finding the Fourth Proportional to 37.29, 51.48 and 30.05

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Solution

The fourth proportional to 37.29, 51.48 and 30.05 is: 41.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.29 : 51.48 = 30.05 : x
  2. Step 2: Convert to fraction form
    37.29/51.48 = 30.05/x
  3. Step 3: Cross multiply
    37.29x = 51.48 × 30.05
  4. Step 4: Simplify right side
    37.29x = 1,546.97
  5. Step 5: Solve for x
    x = 1,546.97/37.29
  6. Step 6: Final answer
    x = 41.48

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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.