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Finding the Fourth Proportional to 139.96, 192.76 and 107.16

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Solution

The fourth proportional to 139.96, 192.76 and 107.16 is: 147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.96 : 192.76 = 107.16 : x
  2. Step 2: Convert to fraction form
    139.96/192.76 = 107.16/x
  3. Step 3: Cross multiply
    139.96x = 192.76 × 107.16
  4. Step 4: Simplify right side
    139.96x = 20,656.16
  5. Step 5: Solve for x
    x = 20,656.16/139.96
  6. Step 6: Final answer
    x = 147.59

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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.