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Finding the Fourth Proportional to 101.97, 140.69 and 58.29

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Solution

The fourth proportional to 101.97, 140.69 and 58.29 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.97 : 140.69 = 58.29 : x
  2. Step 2: Convert to fraction form
    101.97/140.69 = 58.29/x
  3. Step 3: Cross multiply
    101.97x = 140.69 × 58.29
  4. Step 4: Simplify right side
    101.97x = 8,200.53
  5. Step 5: Solve for x
    x = 8,200.53/101.97
  6. Step 6: Final answer
    x = 80.42

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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.