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Finding the Fourth Proportional to 93.19, 138.97 and 83.36

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Solution

The fourth proportional to 93.19, 138.97 and 83.36 is: 124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.19 : 138.97 = 83.36 : x
  2. Step 2: Convert to fraction form
    93.19/138.97 = 83.36/x
  3. Step 3: Cross multiply
    93.19x = 138.97 × 83.36
  4. Step 4: Simplify right side
    93.19x = 11,584.54
  5. Step 5: Solve for x
    x = 11,584.54/93.19
  6. Step 6: Final answer
    x = 124.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.