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Finding the Fourth Proportional to 27.07, 37.52 and 25.52

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Solution

The fourth proportional to 27.07, 37.52 and 25.52 is: 35.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.07 : 37.52 = 25.52 : x
  2. Step 2: Convert to fraction form
    27.07/37.52 = 25.52/x
  3. Step 3: Cross multiply
    27.07x = 37.52 × 25.52
  4. Step 4: Simplify right side
    27.07x = 957.29
  5. Step 5: Solve for x
    x = 957.29/27.07
  6. Step 6: Final answer
    x = 35.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.