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Finding the Fourth Proportional to 95.70, 142.73 and 82.02

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Solution

The fourth proportional to 95.70, 142.73 and 82.02 is: 122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.70 : 142.73 = 82.02 : x
  2. Step 2: Convert to fraction form
    95.70/142.73 = 82.02/x
  3. Step 3: Cross multiply
    95.70x = 142.73 × 82.02
  4. Step 4: Simplify right side
    95.70x = 11,706.71
  5. Step 5: Solve for x
    x = 11,706.71/95.70
  6. Step 6: Final answer
    x = 122.33

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