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Finding the Fourth Proportional to 43.75, 59.80 and 41.86

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Solution

The fourth proportional to 43.75, 59.80 and 41.86 is: 57.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.75 : 59.80 = 41.86 : x
  2. Step 2: Convert to fraction form
    43.75/59.80 = 41.86/x
  3. Step 3: Cross multiply
    43.75x = 59.80 × 41.86
  4. Step 4: Simplify right side
    43.75x = 2,503.23
  5. Step 5: Solve for x
    x = 2,503.23/43.75
  6. Step 6: Final answer
    x = 57.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.