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Finding the Fourth Proportional to 77.57, 106.42 and 75.63

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Solution

The fourth proportional to 77.57, 106.42 and 75.63 is: 103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.57 : 106.42 = 75.63 : x
  2. Step 2: Convert to fraction form
    77.57/106.42 = 75.63/x
  3. Step 3: Cross multiply
    77.57x = 106.42 × 75.63
  4. Step 4: Simplify right side
    77.57x = 8,048.54
  5. Step 5: Solve for x
    x = 8,048.54/77.57
  6. Step 6: Final answer
    x = 103.77

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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.