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Finding the Fourth Proportional to 27.46, 37.89 and 19.15

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Solution

The fourth proportional to 27.46, 37.89 and 19.15 is: 26.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.46 : 37.89 = 19.15 : x
  2. Step 2: Convert to fraction form
    27.46/37.89 = 19.15/x
  3. Step 3: Cross multiply
    27.46x = 37.89 × 19.15
  4. Step 4: Simplify right side
    27.46x = 725.59
  5. Step 5: Solve for x
    x = 725.59/27.46
  6. Step 6: Final answer
    x = 26.42

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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.