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Finding the Fourth Proportional to 136.97, 189.15 and 93.43

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Solution

The fourth proportional to 136.97, 189.15 and 93.43 is: 129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.97 : 189.15 = 93.43 : x
  2. Step 2: Convert to fraction form
    136.97/189.15 = 93.43/x
  3. Step 3: Cross multiply
    136.97x = 189.15 × 93.43
  4. Step 4: Simplify right side
    136.97x = 17,671.82
  5. Step 5: Solve for x
    x = 17,671.82/136.97
  6. Step 6: Final answer
    x = 129.02

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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.