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Finding the Fourth Proportional to 138.57, 208.05 and 129.66

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Solution

The fourth proportional to 138.57, 208.05 and 129.66 is: 194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.57 : 208.05 = 129.66 : x
  2. Step 2: Convert to fraction form
    138.57/208.05 = 129.66/x
  3. Step 3: Cross multiply
    138.57x = 208.05 × 129.66
  4. Step 4: Simplify right side
    138.57x = 26,975.76
  5. Step 5: Solve for x
    x = 26,975.76/138.57
  6. Step 6: Final answer
    x = 194.67

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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.