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Finding the Fourth Proportional to 141.10, 211.72 and 97.83

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Solution

The fourth proportional to 141.10, 211.72 and 97.83 is: 146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.10 : 211.72 = 97.83 : x
  2. Step 2: Convert to fraction form
    141.10/211.72 = 97.83/x
  3. Step 3: Cross multiply
    141.10x = 211.72 × 97.83
  4. Step 4: Simplify right side
    141.10x = 20,712.57
  5. Step 5: Solve for x
    x = 20,712.57/141.10
  6. Step 6: Final answer
    x = 146.79

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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.