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Finding the Fourth Proportional to 43.83, 65.66 and 41.09

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Solution

The fourth proportional to 43.83, 65.66 and 41.09 is: 61.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.83 : 65.66 = 41.09 : x
  2. Step 2: Convert to fraction form
    43.83/65.66 = 41.09/x
  3. Step 3: Cross multiply
    43.83x = 65.66 × 41.09
  4. Step 4: Simplify right side
    43.83x = 2,697.44
  5. Step 5: Solve for x
    x = 2,697.44/43.83
  6. Step 6: Final answer
    x = 61.54

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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.