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Finding the Fourth Proportional to 139.32, 192.20 and 84.02

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Solution

The fourth proportional to 139.32, 192.20 and 84.02 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.32 : 192.20 = 84.02 : x
  2. Step 2: Convert to fraction form
    139.32/192.20 = 84.02/x
  3. Step 3: Cross multiply
    139.32x = 192.20 × 84.02
  4. Step 4: Simplify right side
    139.32x = 16,148.64
  5. Step 5: Solve for x
    x = 16,148.64/139.32
  6. Step 6: Final answer
    x = 115.91

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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.