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Finding the Fourth Proportional to 43.63, 65.32 and 36.25

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Solution

The fourth proportional to 43.63, 65.32 and 36.25 is: 54.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.63 : 65.32 = 36.25 : x
  2. Step 2: Convert to fraction form
    43.63/65.32 = 36.25/x
  3. Step 3: Cross multiply
    43.63x = 65.32 × 36.25
  4. Step 4: Simplify right side
    43.63x = 2,367.60
  5. Step 5: Solve for x
    x = 2,367.60/43.63
  6. Step 6: Final answer
    x = 54.27

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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.