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Finding the Fourth Proportional to 139.66, 192.63 and 96.07

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Solution

The fourth proportional to 139.66, 192.63 and 96.07 is: 132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.66 : 192.63 = 96.07 : x
  2. Step 2: Convert to fraction form
    139.66/192.63 = 96.07/x
  3. Step 3: Cross multiply
    139.66x = 192.63 × 96.07
  4. Step 4: Simplify right side
    139.66x = 18,505.96
  5. Step 5: Solve for x
    x = 18,505.96/139.66
  6. Step 6: Final answer
    x = 132.51

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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.