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Finding the Fourth Proportional to 141.68, 213.64 and 125.84

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Solution

The fourth proportional to 141.68, 213.64 and 125.84 is: 189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.68 : 213.64 = 125.84 : x
  2. Step 2: Convert to fraction form
    141.68/213.64 = 125.84/x
  3. Step 3: Cross multiply
    141.68x = 213.64 × 125.84
  4. Step 4: Simplify right side
    141.68x = 26,884.46
  5. Step 5: Solve for x
    x = 26,884.46/141.68
  6. Step 6: Final answer
    x = 189.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.