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Finding the Fourth Proportional to 139.57, 209.28 and 85.51

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Solution

The fourth proportional to 139.57, 209.28 and 85.51 is: 128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.57 : 209.28 = 85.51 : x
  2. Step 2: Convert to fraction form
    139.57/209.28 = 85.51/x
  3. Step 3: Cross multiply
    139.57x = 209.28 × 85.51
  4. Step 4: Simplify right side
    139.57x = 17,894.94
  5. Step 5: Solve for x
    x = 17,894.94/139.57
  6. Step 6: Final answer
    x = 128.21

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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.