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Finding the Fourth Proportional to 141.31, 211.81 and 49.96

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Solution

The fourth proportional to 141.31, 211.81 and 49.96 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.31 : 211.81 = 49.96 : x
  2. Step 2: Convert to fraction form
    141.31/211.81 = 49.96/x
  3. Step 3: Cross multiply
    141.31x = 211.81 × 49.96
  4. Step 4: Simplify right side
    141.31x = 10,582.03
  5. Step 5: Solve for x
    x = 10,582.03/141.31
  6. Step 6: Final answer
    x = 74.89

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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.