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Finding the Fourth Proportional to 94.20, 129.92 and 75.77

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Solution

The fourth proportional to 94.20, 129.92 and 75.77 is: 104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.20 : 129.92 = 75.77 : x
  2. Step 2: Convert to fraction form
    94.20/129.92 = 75.77/x
  3. Step 3: Cross multiply
    94.20x = 129.92 × 75.77
  4. Step 4: Simplify right side
    94.20x = 9,843.98
  5. Step 5: Solve for x
    x = 9,843.98/94.20
  6. Step 6: Final answer
    x = 104.50

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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.