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Finding the Fourth Proportional to 41.83, 57.77 and 39.57

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Solution

The fourth proportional to 41.83, 57.77 and 39.57 is: 54.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.83 : 57.77 = 39.57 : x
  2. Step 2: Convert to fraction form
    41.83/57.77 = 39.57/x
  3. Step 3: Cross multiply
    41.83x = 57.77 × 39.57
  4. Step 4: Simplify right side
    41.83x = 2,285.47
  5. Step 5: Solve for x
    x = 2,285.47/41.83
  6. Step 6: Final answer
    x = 54.64

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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.