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Finding the Fourth Proportional to 47.75, 65.84 and 35.42

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Solution

The fourth proportional to 47.75, 65.84 and 35.42 is: 48.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.75 : 65.84 = 35.42 : x
  2. Step 2: Convert to fraction form
    47.75/65.84 = 35.42/x
  3. Step 3: Cross multiply
    47.75x = 65.84 × 35.42
  4. Step 4: Simplify right side
    47.75x = 2,331.55
  5. Step 5: Solve for x
    x = 2,331.55/47.75
  6. Step 6: Final answer
    x = 48.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.