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Finding the Fourth Proportional to 27.58, 38.09 and 26.09

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Solution

The fourth proportional to 27.58, 38.09 and 26.09 is: 36.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.58 : 38.09 = 26.09 : x
  2. Step 2: Convert to fraction form
    27.58/38.09 = 26.09/x
  3. Step 3: Cross multiply
    27.58x = 38.09 × 26.09
  4. Step 4: Simplify right side
    27.58x = 993.77
  5. Step 5: Solve for x
    x = 993.77/27.58
  6. Step 6: Final answer
    x = 36.03

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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.