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Finding the Fourth Proportional to 140.07, 209.97 and 123.87

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Solution

The fourth proportional to 140.07, 209.97 and 123.87 is: 185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.07 : 209.97 = 123.87 : x
  2. Step 2: Convert to fraction form
    140.07/209.97 = 123.87/x
  3. Step 3: Cross multiply
    140.07x = 209.97 × 123.87
  4. Step 4: Simplify right side
    140.07x = 26,008.98
  5. Step 5: Solve for x
    x = 26,008.98/140.07
  6. Step 6: Final answer
    x = 185.69

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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.