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Finding the Fourth Proportional to 76.38, 105.44 and 51.84

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Solution

The fourth proportional to 76.38, 105.44 and 51.84 is: 71.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.38 : 105.44 = 51.84 : x
  2. Step 2: Convert to fraction form
    76.38/105.44 = 51.84/x
  3. Step 3: Cross multiply
    76.38x = 105.44 × 51.84
  4. Step 4: Simplify right side
    76.38x = 5,466.01
  5. Step 5: Solve for x
    x = 5,466.01/76.38
  6. Step 6: Final answer
    x = 71.56

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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.