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Finding the Fourth Proportional to 115.25, 172.77 and 105.23

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Solution

The fourth proportional to 115.25, 172.77 and 105.23 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.25 : 172.77 = 105.23 : x
  2. Step 2: Convert to fraction form
    115.25/172.77 = 105.23/x
  3. Step 3: Cross multiply
    115.25x = 172.77 × 105.23
  4. Step 4: Simplify right side
    115.25x = 18,180.59
  5. Step 5: Solve for x
    x = 18,180.59/115.25
  6. Step 6: Final answer
    x = 157.75

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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.