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Finding the Fourth Proportional to 114.45, 172.07 and 111.38

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Solution

The fourth proportional to 114.45, 172.07 and 111.38 is: 167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.45 : 172.07 = 111.38 : x
  2. Step 2: Convert to fraction form
    114.45/172.07 = 111.38/x
  3. Step 3: Cross multiply
    114.45x = 172.07 × 111.38
  4. Step 4: Simplify right side
    114.45x = 19,163.74
  5. Step 5: Solve for x
    x = 19,163.74/114.45
  6. Step 6: Final answer
    x = 167.44

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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.