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Finding the Fourth Proportional to 139.46, 192.47 and 84.24

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Solution

The fourth proportional to 139.46, 192.47 and 84.24 is: 116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.46 : 192.47 = 84.24 : x
  2. Step 2: Convert to fraction form
    139.46/192.47 = 84.24/x
  3. Step 3: Cross multiply
    139.46x = 192.47 × 84.24
  4. Step 4: Simplify right side
    139.46x = 16,213.25
  5. Step 5: Solve for x
    x = 16,213.25/139.46
  6. Step 6: Final answer
    x = 116.26

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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.