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Finding the Fourth Proportional to 95.73, 142.86 and 82.87

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Solution

The fourth proportional to 95.73, 142.86 and 82.87 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.73 : 142.86 = 82.87 : x
  2. Step 2: Convert to fraction form
    95.73/142.86 = 82.87/x
  3. Step 3: Cross multiply
    95.73x = 142.86 × 82.87
  4. Step 4: Simplify right side
    95.73x = 11,839.57
  5. Step 5: Solve for x
    x = 11,839.57/95.73
  6. Step 6: Final answer
    x = 123.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.