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Finding the Fourth Proportional to 76.44, 105.42 and 51.84

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Solution

The fourth proportional to 76.44, 105.42 and 51.84 is: 71.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 105.42 = 51.84 : x
  2. Step 2: Convert to fraction form
    76.44/105.42 = 51.84/x
  3. Step 3: Cross multiply
    76.44x = 105.42 × 51.84
  4. Step 4: Simplify right side
    76.44x = 5,464.97
  5. Step 5: Solve for x
    x = 5,464.97/76.44
  6. Step 6: Final answer
    x = 71.49

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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.