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Finding the Fourth Proportional to 140.88, 211.40 and 76.80

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Solution

The fourth proportional to 140.88, 211.40 and 76.80 is: 115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.88 : 211.40 = 76.80 : x
  2. Step 2: Convert to fraction form
    140.88/211.40 = 76.80/x
  3. Step 3: Cross multiply
    140.88x = 211.40 × 76.80
  4. Step 4: Simplify right side
    140.88x = 16,235.52
  5. Step 5: Solve for x
    x = 16,235.52/140.88
  6. Step 6: Final answer
    x = 115.24

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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.