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Finding the Fourth Proportional to 141.48, 211.68 and 105.12

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Solution

The fourth proportional to 141.48, 211.68 and 105.12 is: 157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.48 : 211.68 = 105.12 : x
  2. Step 2: Convert to fraction form
    141.48/211.68 = 105.12/x
  3. Step 3: Cross multiply
    141.48x = 211.68 × 105.12
  4. Step 4: Simplify right side
    141.48x = 22,251.80
  5. Step 5: Solve for x
    x = 22,251.80/141.48
  6. Step 6: Final answer
    x = 157.28

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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.