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Finding the Fourth Proportional to 37.81, 52.12 and 30.06

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Solution

The fourth proportional to 37.81, 52.12 and 30.06 is: 41.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.81 : 52.12 = 30.06 : x
  2. Step 2: Convert to fraction form
    37.81/52.12 = 30.06/x
  3. Step 3: Cross multiply
    37.81x = 52.12 × 30.06
  4. Step 4: Simplify right side
    37.81x = 1,566.65
  5. Step 5: Solve for x
    x = 1,566.65/37.81
  6. Step 6: Final answer
    x = 41.44

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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.