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Finding the Fourth Proportional to 141.17, 211.82 and 105.39

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Solution

The fourth proportional to 141.17, 211.82 and 105.39 is: 158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.17 : 211.82 = 105.39 : x
  2. Step 2: Convert to fraction form
    141.17/211.82 = 105.39/x
  3. Step 3: Cross multiply
    141.17x = 211.82 × 105.39
  4. Step 4: Simplify right side
    141.17x = 22,323.18
  5. Step 5: Solve for x
    x = 22,323.18/141.17
  6. Step 6: Final answer
    x = 158.14

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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.