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Finding the Fourth Proportional to 41.45, 57.05 and 37.35

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Solution

The fourth proportional to 41.45, 57.05 and 37.35 is: 51.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.45 : 57.05 = 37.35 : x
  2. Step 2: Convert to fraction form
    41.45/57.05 = 37.35/x
  3. Step 3: Cross multiply
    41.45x = 57.05 × 37.35
  4. Step 4: Simplify right side
    41.45x = 2,130.77
  5. Step 5: Solve for x
    x = 2,130.77/41.45
  6. Step 6: Final answer
    x = 51.41

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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.