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Finding the Fourth Proportional to 141.34, 212.02 and 50.05

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Solution

The fourth proportional to 141.34, 212.02 and 50.05 is: 75.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.34 : 212.02 = 50.05 : x
  2. Step 2: Convert to fraction form
    141.34/212.02 = 50.05/x
  3. Step 3: Cross multiply
    141.34x = 212.02 × 50.05
  4. Step 4: Simplify right side
    141.34x = 10,610.95
  5. Step 5: Solve for x
    x = 10,610.95/141.34
  6. Step 6: Final answer
    x = 75.07

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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.