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Finding the Fourth Proportional to 115.36, 173.44 and 107.84

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Solution

The fourth proportional to 115.36, 173.44 and 107.84 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.36 : 173.44 = 107.84 : x
  2. Step 2: Convert to fraction form
    115.36/173.44 = 107.84/x
  3. Step 3: Cross multiply
    115.36x = 173.44 × 107.84
  4. Step 4: Simplify right side
    115.36x = 18,703.77
  5. Step 5: Solve for x
    x = 18,703.77/115.36
  6. Step 6: Final answer
    x = 162.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.