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Finding the Fourth Proportional to 27.45, 41.10 and 25.22

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Solution

The fourth proportional to 27.45, 41.10 and 25.22 is: 37.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.45 : 41.10 = 25.22 : x
  2. Step 2: Convert to fraction form
    27.45/41.10 = 25.22/x
  3. Step 3: Cross multiply
    27.45x = 41.10 × 25.22
  4. Step 4: Simplify right side
    27.45x = 1,036.52
  5. Step 5: Solve for x
    x = 1,036.52/27.45
  6. Step 6: Final answer
    x = 37.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.