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Finding the Fourth Proportional to 41.24, 57 and 37.64

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Solution

The fourth proportional to 41.24, 57 and 37.64 is: 52.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.24 : 57 = 37.64 : x
  2. Step 2: Convert to fraction form
    41.24/57 = 37.64/x
  3. Step 3: Cross multiply
    41.24x = 57 × 37.64
  4. Step 4: Simplify right side
    41.24x = 2,145.48
  5. Step 5: Solve for x
    x = 2,145.48/41.24
  6. Step 6: Final answer
    x = 52.02

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Why These Related Problems?

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