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Finding the Fourth Proportional to 137.55, 191.14 and 136.14

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Solution

The fourth proportional to 137.55, 191.14 and 136.14 is: 189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.55 : 191.14 = 136.14 : x
  2. Step 2: Convert to fraction form
    137.55/191.14 = 136.14/x
  3. Step 3: Cross multiply
    137.55x = 191.14 × 136.14
  4. Step 4: Simplify right side
    137.55x = 26,021.80
  5. Step 5: Solve for x
    x = 26,021.80/137.55
  6. Step 6: Final answer
    x = 189.18

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.