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Finding the Fourth Proportional to 76.40, 105.46 and 51.84

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Solution

The fourth proportional to 76.40, 105.46 and 51.84 is: 71.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.40 : 105.46 = 51.84 : x
  2. Step 2: Convert to fraction form
    76.40/105.46 = 51.84/x
  3. Step 3: Cross multiply
    76.40x = 105.46 × 51.84
  4. Step 4: Simplify right side
    76.40x = 5,467.05
  5. Step 5: Solve for x
    x = 5,467.05/76.40
  6. Step 6: Final answer
    x = 71.56

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