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Finding the Fourth Proportional to 137.79, 206.20 and 118.76

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Solution

The fourth proportional to 137.79, 206.20 and 118.76 is: 177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.79 : 206.20 = 118.76 : x
  2. Step 2: Convert to fraction form
    137.79/206.20 = 118.76/x
  3. Step 3: Cross multiply
    137.79x = 206.20 × 118.76
  4. Step 4: Simplify right side
    137.79x = 24,486.76
  5. Step 5: Solve for x
    x = 24,486.76/137.79
  6. Step 6: Final answer
    x = 177.71

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