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Finding the Fourth Proportional to 114.78, 172.96 and 94.94

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Solution

The fourth proportional to 114.78, 172.96 and 94.94 is: 143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.78 : 172.96 = 94.94 : x
  2. Step 2: Convert to fraction form
    114.78/172.96 = 94.94/x
  3. Step 3: Cross multiply
    114.78x = 172.96 × 94.94
  4. Step 4: Simplify right side
    114.78x = 16,419.48
  5. Step 5: Solve for x
    x = 16,419.48/114.78
  6. Step 6: Final answer
    x = 143.05

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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.