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Finding the Fourth Proportional to 36.09, 49.77 and 25.74

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Solution

The fourth proportional to 36.09, 49.77 and 25.74 is: 35.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.09 : 49.77 = 25.74 : x
  2. Step 2: Convert to fraction form
    36.09/49.77 = 25.74/x
  3. Step 3: Cross multiply
    36.09x = 49.77 × 25.74
  4. Step 4: Simplify right side
    36.09x = 1,281.08
  5. Step 5: Solve for x
    x = 1,281.08/36.09
  6. Step 6: Final answer
    x = 35.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.