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Finding the Fourth Proportional to 40.09, 59.87 and 34

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Solution

The fourth proportional to 40.09, 59.87 and 34 is: 50.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.09 : 59.87 = 34 : x
  2. Step 2: Convert to fraction form
    40.09/59.87 = 34/x
  3. Step 3: Cross multiply
    40.09x = 59.87 × 34
  4. Step 4: Simplify right side
    40.09x = 2,035.58
  5. Step 5: Solve for x
    x = 2,035.58/40.09
  6. Step 6: Final answer
    x = 50.78

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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.