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Finding the Fourth Proportional to 51.75, 71.43 and 34.50

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Solution

The fourth proportional to 51.75, 71.43 and 34.50 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.75 : 71.43 = 34.50 : x
  2. Step 2: Convert to fraction form
    51.75/71.43 = 34.50/x
  3. Step 3: Cross multiply
    51.75x = 71.43 × 34.50
  4. Step 4: Simplify right side
    51.75x = 2,464.34
  5. Step 5: Solve for x
    x = 2,464.34/51.75
  6. Step 6: Final answer
    x = 47.62

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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.