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Finding the Fourth Proportional to 140.76, 211.02 and 76.44

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Solution

The fourth proportional to 140.76, 211.02 and 76.44 is: 114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 211.02 = 76.44 : x
  2. Step 2: Convert to fraction form
    140.76/211.02 = 76.44/x
  3. Step 3: Cross multiply
    140.76x = 211.02 × 76.44
  4. Step 4: Simplify right side
    140.76x = 16,130.37
  5. Step 5: Solve for x
    x = 16,130.37/140.76
  6. Step 6: Final answer
    x = 114.59

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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.