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Finding the Fourth Proportional to 65.38, 98.12 and 41.33

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Solution

The fourth proportional to 65.38, 98.12 and 41.33 is: 62.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.38 : 98.12 = 41.33 : x
  2. Step 2: Convert to fraction form
    65.38/98.12 = 41.33/x
  3. Step 3: Cross multiply
    65.38x = 98.12 × 41.33
  4. Step 4: Simplify right side
    65.38x = 4,055.09
  5. Step 5: Solve for x
    x = 4,055.09/65.38
  6. Step 6: Final answer
    x = 62.03

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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.