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Finding the Fourth Proportional to 141.57, 211.92 and 104.91

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Solution

The fourth proportional to 141.57, 211.92 and 104.91 is: 157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.57 : 211.92 = 104.91 : x
  2. Step 2: Convert to fraction form
    141.57/211.92 = 104.91/x
  3. Step 3: Cross multiply
    141.57x = 211.92 × 104.91
  4. Step 4: Simplify right side
    141.57x = 22,232.53
  5. Step 5: Solve for x
    x = 22,232.53/141.57
  6. Step 6: Final answer
    x = 157.04

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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.