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Finding the Fourth Proportional to 136.68, 205.23 and 91.11

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Solution

The fourth proportional to 136.68, 205.23 and 91.11 is: 136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.68 : 205.23 = 91.11 : x
  2. Step 2: Convert to fraction form
    136.68/205.23 = 91.11/x
  3. Step 3: Cross multiply
    136.68x = 205.23 × 91.11
  4. Step 4: Simplify right side
    136.68x = 18,698.51
  5. Step 5: Solve for x
    x = 18,698.51/136.68
  6. Step 6: Final answer
    x = 136.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.