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Finding the Fourth Proportional to 135.68, 187.24 and 80.48

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Solution

The fourth proportional to 135.68, 187.24 and 80.48 is: 111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.68 : 187.24 = 80.48 : x
  2. Step 2: Convert to fraction form
    135.68/187.24 = 80.48/x
  3. Step 3: Cross multiply
    135.68x = 187.24 × 80.48
  4. Step 4: Simplify right side
    135.68x = 15,069.08
  5. Step 5: Solve for x
    x = 15,069.08/135.68
  6. Step 6: Final answer
    x = 111.06

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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.