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Finding the Fourth Proportional to 139.60, 192.12 and 120.16

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Solution

The fourth proportional to 139.60, 192.12 and 120.16 is: 165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.60 : 192.12 = 120.16 : x
  2. Step 2: Convert to fraction form
    139.60/192.12 = 120.16/x
  3. Step 3: Cross multiply
    139.60x = 192.12 × 120.16
  4. Step 4: Simplify right side
    139.60x = 23,085.14
  5. Step 5: Solve for x
    x = 23,085.14/139.60
  6. Step 6: Final answer
    x = 165.37

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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.