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Finding the Fourth Proportional to 47.75, 65.85 and 30.24

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Solution

The fourth proportional to 47.75, 65.85 and 30.24 is: 41.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.75 : 65.85 = 30.24 : x
  2. Step 2: Convert to fraction form
    47.75/65.85 = 30.24/x
  3. Step 3: Cross multiply
    47.75x = 65.85 × 30.24
  4. Step 4: Simplify right side
    47.75x = 1,991.30
  5. Step 5: Solve for x
    x = 1,991.30/47.75
  6. Step 6: Final answer
    x = 41.70

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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.