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Finding the Fourth Proportional to 140.09, 209.70 and 85.82

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Solution

The fourth proportional to 140.09, 209.70 and 85.82 is: 128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.09 : 209.70 = 85.82 : x
  2. Step 2: Convert to fraction form
    140.09/209.70 = 85.82/x
  3. Step 3: Cross multiply
    140.09x = 209.70 × 85.82
  4. Step 4: Simplify right side
    140.09x = 17,995.41
  5. Step 5: Solve for x
    x = 17,995.41/140.09
  6. Step 6: Final answer
    x = 128.46

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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.