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Finding the Fourth Proportional to 141.77, 212.69 and 50.48

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Solution

The fourth proportional to 141.77, 212.69 and 50.48 is: 75.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.77 : 212.69 = 50.48 : x
  2. Step 2: Convert to fraction form
    141.77/212.69 = 50.48/x
  3. Step 3: Cross multiply
    141.77x = 212.69 × 50.48
  4. Step 4: Simplify right side
    141.77x = 10,735.28
  5. Step 5: Solve for x
    x = 10,735.28/141.77
  6. Step 6: Final answer
    x = 75.72

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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.