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Finding the Fourth Proportional to 141.40, 195.14 and 79.23

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Solution

The fourth proportional to 141.40, 195.14 and 79.23 is: 109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.40 : 195.14 = 79.23 : x
  2. Step 2: Convert to fraction form
    141.40/195.14 = 79.23/x
  3. Step 3: Cross multiply
    141.40x = 195.14 × 79.23
  4. Step 4: Simplify right side
    141.40x = 15,460.94
  5. Step 5: Solve for x
    x = 15,460.94/141.40
  6. Step 6: Final answer
    x = 109.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.