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Finding the Fourth Proportional to 41.01, 56.49 and 37.71

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Solution

The fourth proportional to 41.01, 56.49 and 37.71 is: 51.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.01 : 56.49 = 37.71 : x
  2. Step 2: Convert to fraction form
    41.01/56.49 = 37.71/x
  3. Step 3: Cross multiply
    41.01x = 56.49 × 37.71
  4. Step 4: Simplify right side
    41.01x = 2,130.24
  5. Step 5: Solve for x
    x = 2,130.24/41.01
  6. Step 6: Final answer
    x = 51.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.