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Finding the Fourth Proportional to 27.51, 37.75 and 27.03

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Solution

The fourth proportional to 27.51, 37.75 and 27.03 is: 37.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.51 : 37.75 = 27.03 : x
  2. Step 2: Convert to fraction form
    27.51/37.75 = 27.03/x
  3. Step 3: Cross multiply
    27.51x = 37.75 × 27.03
  4. Step 4: Simplify right side
    27.51x = 1,020.31
  5. Step 5: Solve for x
    x = 1,020.31/27.51
  6. Step 6: Final answer
    x = 37.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.