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Finding the Fourth Proportional to 93.20, 128.60 and 82.24

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Solution

The fourth proportional to 93.20, 128.60 and 82.24 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.20 : 128.60 = 82.24 : x
  2. Step 2: Convert to fraction form
    93.20/128.60 = 82.24/x
  3. Step 3: Cross multiply
    93.20x = 128.60 × 82.24
  4. Step 4: Simplify right side
    93.20x = 10,576.06
  5. Step 5: Solve for x
    x = 10,576.06/93.20
  6. Step 6: Final answer
    x = 113.48

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Why These Related Problems?

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