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Finding the Fourth Proportional to 136.90, 189 and 97.64

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Solution

The fourth proportional to 136.90, 189 and 97.64 is: 134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.90 : 189 = 97.64 : x
  2. Step 2: Convert to fraction form
    136.90/189 = 97.64/x
  3. Step 3: Cross multiply
    136.90x = 189 × 97.64
  4. Step 4: Simplify right side
    136.90x = 18,453.02
  5. Step 5: Solve for x
    x = 18,453.02/136.90
  6. Step 6: Final answer
    x = 134.79

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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.