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Finding the Fourth Proportional to 141.23, 211.89 and 87.17

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Solution

The fourth proportional to 141.23, 211.89 and 87.17 is: 130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 211.89 = 87.17 : x
  2. Step 2: Convert to fraction form
    141.23/211.89 = 87.17/x
  3. Step 3: Cross multiply
    141.23x = 211.89 × 87.17
  4. Step 4: Simplify right side
    141.23x = 18,469.66
  5. Step 5: Solve for x
    x = 18,469.66/141.23
  6. Step 6: Final answer
    x = 130.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.