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Finding the Fourth Proportional to 95.44, 142.82 and 54.70

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Solution

The fourth proportional to 95.44, 142.82 and 54.70 is: 81.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.44 : 142.82 = 54.70 : x
  2. Step 2: Convert to fraction form
    95.44/142.82 = 54.70/x
  3. Step 3: Cross multiply
    95.44x = 142.82 × 54.70
  4. Step 4: Simplify right side
    95.44x = 7,812.25
  5. Step 5: Solve for x
    x = 7,812.25/95.44
  6. Step 6: Final answer
    x = 81.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.