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Finding the Fourth Proportional to 41.09, 61.54 and 23.93

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Solution

The fourth proportional to 41.09, 61.54 and 23.93 is: 35.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.09 : 61.54 = 23.93 : x
  2. Step 2: Convert to fraction form
    41.09/61.54 = 23.93/x
  3. Step 3: Cross multiply
    41.09x = 61.54 × 23.93
  4. Step 4: Simplify right side
    41.09x = 1,472.22
  5. Step 5: Solve for x
    x = 1,472.22/41.09
  6. Step 6: Final answer
    x = 35.83

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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.