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Finding the Fourth Proportional to 93.64, 140.64 and 82.84

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Solution

The fourth proportional to 93.64, 140.64 and 82.84 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.64 : 140.64 = 82.84 : x
  2. Step 2: Convert to fraction form
    93.64/140.64 = 82.84/x
  3. Step 3: Cross multiply
    93.64x = 140.64 × 82.84
  4. Step 4: Simplify right side
    93.64x = 11,650.62
  5. Step 5: Solve for x
    x = 11,650.62/93.64
  6. Step 6: Final answer
    x = 124.42

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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.