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Finding the Fourth Proportional to 135.70, 187.34 and 80.46

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Solution

The fourth proportional to 135.70, 187.34 and 80.46 is: 111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.70 : 187.34 = 80.46 : x
  2. Step 2: Convert to fraction form
    135.70/187.34 = 80.46/x
  3. Step 3: Cross multiply
    135.70x = 187.34 × 80.46
  4. Step 4: Simplify right side
    135.70x = 15,072.97
  5. Step 5: Solve for x
    x = 15,072.97/135.70
  6. Step 6: Final answer
    x = 111.08

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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.