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Finding the Fourth Proportional to 139.74, 192.61 and 96.00

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Solution

The fourth proportional to 139.74, 192.61 and 96.00 is: 132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.74 : 192.61 = 96.00 : x
  2. Step 2: Convert to fraction form
    139.74/192.61 = 96.00/x
  3. Step 3: Cross multiply
    139.74x = 192.61 × 96.00
  4. Step 4: Simplify right side
    139.74x = 18,489.60
  5. Step 5: Solve for x
    x = 18,489.60/139.74
  6. Step 6: Final answer
    x = 132.32

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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.