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Finding the Fourth Proportional to 139.89, 209.51 and 85.67

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Solution

The fourth proportional to 139.89, 209.51 and 85.67 is: 128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.89 : 209.51 = 85.67 : x
  2. Step 2: Convert to fraction form
    139.89/209.51 = 85.67/x
  3. Step 3: Cross multiply
    139.89x = 209.51 × 85.67
  4. Step 4: Simplify right side
    139.89x = 17,948.72
  5. Step 5: Solve for x
    x = 17,948.72/139.89
  6. Step 6: Final answer
    x = 128.31

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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.