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Finding the Fourth Proportional to 139.31, 192.27 and 84.05

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Solution

The fourth proportional to 139.31, 192.27 and 84.05 is: 116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.31 : 192.27 = 84.05 : x
  2. Step 2: Convert to fraction form
    139.31/192.27 = 84.05/x
  3. Step 3: Cross multiply
    139.31x = 192.27 × 84.05
  4. Step 4: Simplify right side
    139.31x = 16,160.29
  5. Step 5: Solve for x
    x = 16,160.29/139.31
  6. Step 6: Final answer
    x = 116.00

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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.