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Finding the Fourth Proportional to 141.03, 211.65 and 105.05

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Solution

The fourth proportional to 141.03, 211.65 and 105.05 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.03 : 211.65 = 105.05 : x
  2. Step 2: Convert to fraction form
    141.03/211.65 = 105.05/x
  3. Step 3: Cross multiply
    141.03x = 211.65 × 105.05
  4. Step 4: Simplify right side
    141.03x = 22,233.97
  5. Step 5: Solve for x
    x = 22,233.97/141.03
  6. Step 6: Final answer
    x = 157.65

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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.