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Finding the Fourth Proportional to 136.14, 187.59 and 97.26

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Solution

The fourth proportional to 136.14, 187.59 and 97.26 is: 134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.14 : 187.59 = 97.26 : x
  2. Step 2: Convert to fraction form
    136.14/187.59 = 97.26/x
  3. Step 3: Cross multiply
    136.14x = 187.59 × 97.26
  4. Step 4: Simplify right side
    136.14x = 18,245.00
  5. Step 5: Solve for x
    x = 18,245.00/136.14
  6. Step 6: Final answer
    x = 134.02

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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.