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Finding the Fourth Proportional to 137.74, 191.42 and 136.02

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Solution

The fourth proportional to 137.74, 191.42 and 136.02 is: 189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 191.42 = 136.02 : x
  2. Step 2: Convert to fraction form
    137.74/191.42 = 136.02/x
  3. Step 3: Cross multiply
    137.74x = 191.42 × 136.02
  4. Step 4: Simplify right side
    137.74x = 26,036.52
  5. Step 5: Solve for x
    x = 26,036.52/137.74
  6. Step 6: Final answer
    x = 189.02

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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.