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Finding the Fourth Proportional to 141.77, 212.49 and 120.04

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Solution

The fourth proportional to 141.77, 212.49 and 120.04 is: 179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.77 : 212.49 = 120.04 : x
  2. Step 2: Convert to fraction form
    141.77/212.49 = 120.04/x
  3. Step 3: Cross multiply
    141.77x = 212.49 × 120.04
  4. Step 4: Simplify right side
    141.77x = 25,506.77
  5. Step 5: Solve for x
    x = 25,506.77/141.77
  6. Step 6: Final answer
    x = 179.91

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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.