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Finding the Fourth Proportional to 140.89, 211.37 and 49.60

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Solution

The fourth proportional to 140.89, 211.37 and 49.60 is: 74.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.89 : 211.37 = 49.60 : x
  2. Step 2: Convert to fraction form
    140.89/211.37 = 49.60/x
  3. Step 3: Cross multiply
    140.89x = 211.37 × 49.60
  4. Step 4: Simplify right side
    140.89x = 10,483.95
  5. Step 5: Solve for x
    x = 10,483.95/140.89
  6. Step 6: Final answer
    x = 74.41

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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.