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Finding the Fourth Proportional to 93.84, 129.39 and 78.05

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Solution

The fourth proportional to 93.84, 129.39 and 78.05 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.84 : 129.39 = 78.05 : x
  2. Step 2: Convert to fraction form
    93.84/129.39 = 78.05/x
  3. Step 3: Cross multiply
    93.84x = 129.39 × 78.05
  4. Step 4: Simplify right side
    93.84x = 10,098.24
  5. Step 5: Solve for x
    x = 10,098.24/93.84
  6. Step 6: Final answer
    x = 107.61

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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.