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Finding the Fourth Proportional to 136.74, 188.64 and 92.51

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Solution

The fourth proportional to 136.74, 188.64 and 92.51 is: 127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.74 : 188.64 = 92.51 : x
  2. Step 2: Convert to fraction form
    136.74/188.64 = 92.51/x
  3. Step 3: Cross multiply
    136.74x = 188.64 × 92.51
  4. Step 4: Simplify right side
    136.74x = 17,450.85
  5. Step 5: Solve for x
    x = 17,450.85/136.74
  6. Step 6: Final answer
    x = 127.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.