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Finding the Fourth Proportional to 36.02, 54.02 and 14.63

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Solution

The fourth proportional to 36.02, 54.02 and 14.63 is: 21.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.02 : 54.02 = 14.63 : x
  2. Step 2: Convert to fraction form
    36.02/54.02 = 14.63/x
  3. Step 3: Cross multiply
    36.02x = 54.02 × 14.63
  4. Step 4: Simplify right side
    36.02x = 790.08
  5. Step 5: Solve for x
    x = 790.08/36.02
  6. Step 6: Final answer
    x = 21.94

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