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Finding the Fourth Proportional to 139.75, 192.84 and 77.57

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Solution

The fourth proportional to 139.75, 192.84 and 77.57 is: 107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.75 : 192.84 = 77.57 : x
  2. Step 2: Convert to fraction form
    139.75/192.84 = 77.57/x
  3. Step 3: Cross multiply
    139.75x = 192.84 × 77.57
  4. Step 4: Simplify right side
    139.75x = 14,958.60
  5. Step 5: Solve for x
    x = 14,958.60/139.75
  6. Step 6: Final answer
    x = 107.04

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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.