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Finding the Fourth Proportional to 141.76, 212.82 and 80.94

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Solution

The fourth proportional to 141.76, 212.82 and 80.94 is: 121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.76 : 212.82 = 80.94 : x
  2. Step 2: Convert to fraction form
    141.76/212.82 = 80.94/x
  3. Step 3: Cross multiply
    141.76x = 212.82 × 80.94
  4. Step 4: Simplify right side
    141.76x = 17,225.65
  5. Step 5: Solve for x
    x = 17,225.65/141.76
  6. Step 6: Final answer
    x = 121.51

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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.