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Finding the Fourth Proportional to 139.55, 209.32 and 85.43

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Solution

The fourth proportional to 139.55, 209.32 and 85.43 is: 128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.55 : 209.32 = 85.43 : x
  2. Step 2: Convert to fraction form
    139.55/209.32 = 85.43/x
  3. Step 3: Cross multiply
    139.55x = 209.32 × 85.43
  4. Step 4: Simplify right side
    139.55x = 17,882.21
  5. Step 5: Solve for x
    x = 17,882.21/139.55
  6. Step 6: Final answer
    x = 128.15

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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.