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Finding the Fourth Proportional to 27.08, 40.42 and 25.36

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Solution

The fourth proportional to 27.08, 40.42 and 25.36 is: 37.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.08 : 40.42 = 25.36 : x
  2. Step 2: Convert to fraction form
    27.08/40.42 = 25.36/x
  3. Step 3: Cross multiply
    27.08x = 40.42 × 25.36
  4. Step 4: Simplify right side
    27.08x = 1,024.98
  5. Step 5: Solve for x
    x = 1,024.98/27.08
  6. Step 6: Final answer
    x = 37.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.