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Finding the Fourth Proportional to 43.63, 65.85 and 43.63

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Solution

The fourth proportional to 43.63, 65.85 and 43.63 is: 65.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.63 : 65.85 = 43.63 : x
  2. Step 2: Convert to fraction form
    43.63/65.85 = 43.63/x
  3. Step 3: Cross multiply
    43.63x = 65.85 × 43.63
  4. Step 4: Simplify right side
    43.63x = 2,872.98
  5. Step 5: Solve for x
    x = 2,872.98/43.63
  6. Step 6: Final answer
    x = 65.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.