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Finding the Fourth Proportional to 139.52, 192.42 and 106.26

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Solution

The fourth proportional to 139.52, 192.42 and 106.26 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.52 : 192.42 = 106.26 : x
  2. Step 2: Convert to fraction form
    139.52/192.42 = 106.26/x
  3. Step 3: Cross multiply
    139.52x = 192.42 × 106.26
  4. Step 4: Simplify right side
    139.52x = 20,446.55
  5. Step 5: Solve for x
    x = 20,446.55/139.52
  6. Step 6: Final answer
    x = 146.55

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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.