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Finding the Fourth Proportional to 76.37, 105.36 and 50.16

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Solution

The fourth proportional to 76.37, 105.36 and 50.16 is: 69.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.37 : 105.36 = 50.16 : x
  2. Step 2: Convert to fraction form
    76.37/105.36 = 50.16/x
  3. Step 3: Cross multiply
    76.37x = 105.36 × 50.16
  4. Step 4: Simplify right side
    76.37x = 5,284.33
  5. Step 5: Solve for x
    x = 5,284.33/76.37
  6. Step 6: Final answer
    x = 69.19

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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.