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Finding the Fourth Proportional to 93.96, 140.81 and 75.65

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Solution

The fourth proportional to 93.96, 140.81 and 75.65 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.96 : 140.81 = 75.65 : x
  2. Step 2: Convert to fraction form
    93.96/140.81 = 75.65/x
  3. Step 3: Cross multiply
    93.96x = 140.81 × 75.65
  4. Step 4: Simplify right side
    93.96x = 10,651.19
  5. Step 5: Solve for x
    x = 10,651.19/93.96
  6. Step 6: Final answer
    x = 113.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.