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Finding the Fourth Proportional to 95.00, 142.49 and 40.82

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Solution

The fourth proportional to 95.00, 142.49 and 40.82 is: 61.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.00 : 142.49 = 40.82 : x
  2. Step 2: Convert to fraction form
    95.00/142.49 = 40.82/x
  3. Step 3: Cross multiply
    95.00x = 142.49 × 40.82
  4. Step 4: Simplify right side
    95.00x = 5,815.83
  5. Step 5: Solve for x
    x = 5,815.83/95.00
  6. Step 6: Final answer
    x = 61.22

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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.