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Finding the Fourth Proportional to 43.85, 65.73 and 31.82

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Solution

The fourth proportional to 43.85, 65.73 and 31.82 is: 47.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.85 : 65.73 = 31.82 : x
  2. Step 2: Convert to fraction form
    43.85/65.73 = 31.82/x
  3. Step 3: Cross multiply
    43.85x = 65.73 × 31.82
  4. Step 4: Simplify right side
    43.85x = 2,091.53
  5. Step 5: Solve for x
    x = 2,091.53/43.85
  6. Step 6: Final answer
    x = 47.70

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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.