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Finding the Fourth Proportional to 141.42, 212.12 and 45.22

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Solution

The fourth proportional to 141.42, 212.12 and 45.22 is: 67.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.42 : 212.12 = 45.22 : x
  2. Step 2: Convert to fraction form
    141.42/212.12 = 45.22/x
  3. Step 3: Cross multiply
    141.42x = 212.12 × 45.22
  4. Step 4: Simplify right side
    141.42x = 9,592.07
  5. Step 5: Solve for x
    x = 9,592.07/141.42
  6. Step 6: Final answer
    x = 67.83

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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.