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Finding the Fourth Proportional to 140.09, 209.73 and 71.46

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Solution

The fourth proportional to 140.09, 209.73 and 71.46 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.09 : 209.73 = 71.46 : x
  2. Step 2: Convert to fraction form
    140.09/209.73 = 71.46/x
  3. Step 3: Cross multiply
    140.09x = 209.73 × 71.46
  4. Step 4: Simplify right side
    140.09x = 14,987.57
  5. Step 5: Solve for x
    x = 14,987.57/140.09
  6. Step 6: Final answer
    x = 106.99

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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.