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Finding the Fourth Proportional to 136.06, 187.82 and 103.32

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Solution

The fourth proportional to 136.06, 187.82 and 103.32 is: 142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 187.82 = 103.32 : x
  2. Step 2: Convert to fraction form
    136.06/187.82 = 103.32/x
  3. Step 3: Cross multiply
    136.06x = 187.82 × 103.32
  4. Step 4: Simplify right side
    136.06x = 19,405.56
  5. Step 5: Solve for x
    x = 19,405.56/136.06
  6. Step 6: Final answer
    x = 142.63

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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.