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Finding the Fourth Proportional to 141.28, 211.98 and 89.86

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Solution

The fourth proportional to 141.28, 211.98 and 89.86 is: 134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.28 : 211.98 = 89.86 : x
  2. Step 2: Convert to fraction form
    141.28/211.98 = 89.86/x
  3. Step 3: Cross multiply
    141.28x = 211.98 × 89.86
  4. Step 4: Simplify right side
    141.28x = 19,048.52
  5. Step 5: Solve for x
    x = 19,048.52/141.28
  6. Step 6: Final answer
    x = 134.83

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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.