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Finding the Fourth Proportional to 27.45, 37.91 and 19.69

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Solution

The fourth proportional to 27.45, 37.91 and 19.69 is: 27.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.45 : 37.91 = 19.69 : x
  2. Step 2: Convert to fraction form
    27.45/37.91 = 19.69/x
  3. Step 3: Cross multiply
    27.45x = 37.91 × 19.69
  4. Step 4: Simplify right side
    27.45x = 746.40
  5. Step 5: Solve for x
    x = 746.40/27.45
  6. Step 6: Final answer
    x = 27.19

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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.