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Finding the Fourth Proportional to 93.94, 129.58 and 83.05

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Solution

The fourth proportional to 93.94, 129.58 and 83.05 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.94 : 129.58 = 83.05 : x
  2. Step 2: Convert to fraction form
    93.94/129.58 = 83.05/x
  3. Step 3: Cross multiply
    93.94x = 129.58 × 83.05
  4. Step 4: Simplify right side
    93.94x = 10,761.62
  5. Step 5: Solve for x
    x = 10,761.62/93.94
  6. Step 6: Final answer
    x = 114.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.