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Finding the Fourth Proportional to 139.73, 210.06 and 116.96

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Solution

The fourth proportional to 139.73, 210.06 and 116.96 is: 175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.73 : 210.06 = 116.96 : x
  2. Step 2: Convert to fraction form
    139.73/210.06 = 116.96/x
  3. Step 3: Cross multiply
    139.73x = 210.06 × 116.96
  4. Step 4: Simplify right side
    139.73x = 24,567.57
  5. Step 5: Solve for x
    x = 24,567.57/139.73
  6. Step 6: Final answer
    x = 175.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.