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Finding the Fourth Proportional to 139.14, 192.03 and 76.99

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Solution

The fourth proportional to 139.14, 192.03 and 76.99 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.14 : 192.03 = 76.99 : x
  2. Step 2: Convert to fraction form
    139.14/192.03 = 76.99/x
  3. Step 3: Cross multiply
    139.14x = 192.03 × 76.99
  4. Step 4: Simplify right side
    139.14x = 14,783.04
  5. Step 5: Solve for x
    x = 14,783.04/139.14
  6. Step 6: Final answer
    x = 106.25

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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.