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Finding the Fourth Proportional to 75.86, 104.67 and 43.11

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Solution

The fourth proportional to 75.86, 104.67 and 43.11 is: 59.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.86 : 104.67 = 43.11 : x
  2. Step 2: Convert to fraction form
    75.86/104.67 = 43.11/x
  3. Step 3: Cross multiply
    75.86x = 104.67 × 43.11
  4. Step 4: Simplify right side
    75.86x = 4,512.09
  5. Step 5: Solve for x
    x = 4,512.09/75.86
  6. Step 6: Final answer
    x = 59.48

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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.