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Finding the Fourth Proportional to 36.70, 54.98 and 18.64

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Solution

The fourth proportional to 36.70, 54.98 and 18.64 is: 27.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.70 : 54.98 = 18.64 : x
  2. Step 2: Convert to fraction form
    36.70/54.98 = 18.64/x
  3. Step 3: Cross multiply
    36.70x = 54.98 × 18.64
  4. Step 4: Simplify right side
    36.70x = 1,024.83
  5. Step 5: Solve for x
    x = 1,024.83/36.70
  6. Step 6: Final answer
    x = 27.92

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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.