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Finding the Fourth Proportional to 141.42, 212.14 and 83.53

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Solution

The fourth proportional to 141.42, 212.14 and 83.53 is: 125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.42 : 212.14 = 83.53 : x
  2. Step 2: Convert to fraction form
    141.42/212.14 = 83.53/x
  3. Step 3: Cross multiply
    141.42x = 212.14 × 83.53
  4. Step 4: Simplify right side
    141.42x = 17,720.42
  5. Step 5: Solve for x
    x = 17,720.42/141.42
  6. Step 6: Final answer
    x = 125.30

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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.