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Finding the Fourth Proportional to 135.82, 187.23 and 131.78

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Solution

The fourth proportional to 135.82, 187.23 and 131.78 is: 181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.82 : 187.23 = 131.78 : x
  2. Step 2: Convert to fraction form
    135.82/187.23 = 131.78/x
  3. Step 3: Cross multiply
    135.82x = 187.23 × 131.78
  4. Step 4: Simplify right side
    135.82x = 24,673.17
  5. Step 5: Solve for x
    x = 24,673.17/135.82
  6. Step 6: Final answer
    x = 181.66

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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.