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Finding the Fourth Proportional to 71.46, 107.24 and 51

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Solution

The fourth proportional to 71.46, 107.24 and 51 is: 76.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.46 : 107.24 = 51 : x
  2. Step 2: Convert to fraction form
    71.46/107.24 = 51/x
  3. Step 3: Cross multiply
    71.46x = 107.24 × 51
  4. Step 4: Simplify right side
    71.46x = 5,469.24
  5. Step 5: Solve for x
    x = 5,469.24/71.46
  6. Step 6: Final answer
    x = 76.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.