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Finding the Fourth Proportional to 41.09, 61.29 and 35.24

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Solution

The fourth proportional to 41.09, 61.29 and 35.24 is: 52.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.09 : 61.29 = 35.24 : x
  2. Step 2: Convert to fraction form
    41.09/61.29 = 35.24/x
  3. Step 3: Cross multiply
    41.09x = 61.29 × 35.24
  4. Step 4: Simplify right side
    41.09x = 2,159.55
  5. Step 5: Solve for x
    x = 2,159.55/41.09
  6. Step 6: Final answer
    x = 52.56

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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.