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Finding the Fourth Proportional to 36.36, 54.50 and 14.67

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Solution

The fourth proportional to 36.36, 54.50 and 14.67 is: 21.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.36 : 54.50 = 14.67 : x
  2. Step 2: Convert to fraction form
    36.36/54.50 = 14.67/x
  3. Step 3: Cross multiply
    36.36x = 54.50 × 14.67
  4. Step 4: Simplify right side
    36.36x = 799.53
  5. Step 5: Solve for x
    x = 799.53/36.36
  6. Step 6: Final answer
    x = 21.99

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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.