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Finding the Fourth Proportional to 27.06, 37.34 and 19.77

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Solution

The fourth proportional to 27.06, 37.34 and 19.77 is: 27.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.06 : 37.34 = 19.77 : x
  2. Step 2: Convert to fraction form
    27.06/37.34 = 19.77/x
  3. Step 3: Cross multiply
    27.06x = 37.34 × 19.77
  4. Step 4: Simplify right side
    27.06x = 738.11
  5. Step 5: Solve for x
    x = 738.11/27.06
  6. Step 6: Final answer
    x = 27.28

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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.