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Finding the Fourth Proportional to 76.36, 105.34 and 51.77

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Solution

The fourth proportional to 76.36, 105.34 and 51.77 is: 71.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.36 : 105.34 = 51.77 : x
  2. Step 2: Convert to fraction form
    76.36/105.34 = 51.77/x
  3. Step 3: Cross multiply
    76.36x = 105.34 × 51.77
  4. Step 4: Simplify right side
    76.36x = 5,453.45
  5. Step 5: Solve for x
    x = 5,453.45/76.36
  6. Step 6: Final answer
    x = 71.42

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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.