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Finding the Fourth Proportional to 139.75, 192.85 and 77.58

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Solution

The fourth proportional to 139.75, 192.85 and 77.58 is: 107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.75 : 192.85 = 77.58 : x
  2. Step 2: Convert to fraction form
    139.75/192.85 = 77.58/x
  3. Step 3: Cross multiply
    139.75x = 192.85 × 77.58
  4. Step 4: Simplify right side
    139.75x = 14,961.30
  5. Step 5: Solve for x
    x = 14,961.30/139.75
  6. Step 6: Final answer
    x = 107.06

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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.