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Finding the Fourth Proportional to 95.82, 143.48 and 80.57

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Solution

The fourth proportional to 95.82, 143.48 and 80.57 is: 120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.82 : 143.48 = 80.57 : x
  2. Step 2: Convert to fraction form
    95.82/143.48 = 80.57/x
  3. Step 3: Cross multiply
    95.82x = 143.48 × 80.57
  4. Step 4: Simplify right side
    95.82x = 11,559.06
  5. Step 5: Solve for x
    x = 11,559.06/95.82
  6. Step 6: Final answer
    x = 120.63

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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.