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Finding the Fourth Proportional to 136.89, 187.97 and 117.45

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Solution

The fourth proportional to 136.89, 187.97 and 117.45 is: 161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.89 : 187.97 = 117.45 : x
  2. Step 2: Convert to fraction form
    136.89/187.97 = 117.45/x
  3. Step 3: Cross multiply
    136.89x = 187.97 × 117.45
  4. Step 4: Simplify right side
    136.89x = 22,076.49
  5. Step 5: Solve for x
    x = 22,076.49/136.89
  6. Step 6: Final answer
    x = 161.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.