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Finding the Fourth Proportional to 62.09, 93.16 and 33.19

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Solution

The fourth proportional to 62.09, 93.16 and 33.19 is: 49.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.09 : 93.16 = 33.19 : x
  2. Step 2: Convert to fraction form
    62.09/93.16 = 33.19/x
  3. Step 3: Cross multiply
    62.09x = 93.16 × 33.19
  4. Step 4: Simplify right side
    62.09x = 3,091.86
  5. Step 5: Solve for x
    x = 3,091.86/62.09
  6. Step 6: Final answer
    x = 49.80

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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.