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Finding the Fourth Proportional to 140.84, 211.08 and 83

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Solution

The fourth proportional to 140.84, 211.08 and 83 is: 124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.84 : 211.08 = 83 : x
  2. Step 2: Convert to fraction form
    140.84/211.08 = 83/x
  3. Step 3: Cross multiply
    140.84x = 211.08 × 83
  4. Step 4: Simplify right side
    140.84x = 17,519.64
  5. Step 5: Solve for x
    x = 17,519.64/140.84
  6. Step 6: Final answer
    x = 124.39

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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.