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Finding the Fourth Proportional to 114.29, 172.20 and 94.44

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Solution

The fourth proportional to 114.29, 172.20 and 94.44 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.29 : 172.20 = 94.44 : x
  2. Step 2: Convert to fraction form
    114.29/172.20 = 94.44/x
  3. Step 3: Cross multiply
    114.29x = 172.20 × 94.44
  4. Step 4: Simplify right side
    114.29x = 16,262.57
  5. Step 5: Solve for x
    x = 16,262.57/114.29
  6. Step 6: Final answer
    x = 142.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.