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Finding the Fourth Proportional to 62.05, 85.67 and 40.28

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Solution

The fourth proportional to 62.05, 85.67 and 40.28 is: 55.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.05 : 85.67 = 40.28 : x
  2. Step 2: Convert to fraction form
    62.05/85.67 = 40.28/x
  3. Step 3: Cross multiply
    62.05x = 85.67 × 40.28
  4. Step 4: Simplify right side
    62.05x = 3,450.37
  5. Step 5: Solve for x
    x = 3,450.37/62.05
  6. Step 6: Final answer
    x = 55.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.