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Finding the Fourth Proportional to 139.51, 192.44 and 84.21

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Solution

The fourth proportional to 139.51, 192.44 and 84.21 is: 116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.51 : 192.44 = 84.21 : x
  2. Step 2: Convert to fraction form
    139.51/192.44 = 84.21/x
  3. Step 3: Cross multiply
    139.51x = 192.44 × 84.21
  4. Step 4: Simplify right side
    139.51x = 16,205.37
  5. Step 5: Solve for x
    x = 16,205.37/139.51
  6. Step 6: Final answer
    x = 116.16

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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.