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Finding the Fourth Proportional to 27.10, 37.57 and 25.48

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Solution

The fourth proportional to 27.10, 37.57 and 25.48 is: 35.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.10 : 37.57 = 25.48 : x
  2. Step 2: Convert to fraction form
    27.10/37.57 = 25.48/x
  3. Step 3: Cross multiply
    27.10x = 37.57 × 25.48
  4. Step 4: Simplify right side
    27.10x = 957.28
  5. Step 5: Solve for x
    x = 957.28/27.10
  6. Step 6: Final answer
    x = 35.32

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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.