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Finding the Fourth Proportional to 137.92, 206.04 and 116.06

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Solution

The fourth proportional to 137.92, 206.04 and 116.06 is: 173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 206.04 = 116.06 : x
  2. Step 2: Convert to fraction form
    137.92/206.04 = 116.06/x
  3. Step 3: Cross multiply
    137.92x = 206.04 × 116.06
  4. Step 4: Simplify right side
    137.92x = 23,913.00
  5. Step 5: Solve for x
    x = 23,913.00/137.92
  6. Step 6: Final answer
    x = 173.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.