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Finding the Fourth Proportional to 95.26, 142.13 and 92.33

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Solution

The fourth proportional to 95.26, 142.13 and 92.33 is: 137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.26 : 142.13 = 92.33 : x
  2. Step 2: Convert to fraction form
    95.26/142.13 = 92.33/x
  3. Step 3: Cross multiply
    95.26x = 142.13 × 92.33
  4. Step 4: Simplify right side
    95.26x = 13,122.86
  5. Step 5: Solve for x
    x = 13,122.86/95.26
  6. Step 6: Final answer
    x = 137.76

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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.