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Finding the Fourth Proportional to 141.40, 212.17 and 83.65

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Solution

The fourth proportional to 141.40, 212.17 and 83.65 is: 125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.40 : 212.17 = 83.65 : x
  2. Step 2: Convert to fraction form
    141.40/212.17 = 83.65/x
  3. Step 3: Cross multiply
    141.40x = 212.17 × 83.65
  4. Step 4: Simplify right side
    141.40x = 17,748.02
  5. Step 5: Solve for x
    x = 17,748.02/141.40
  6. Step 6: Final answer
    x = 125.52

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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.