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Finding the Fourth Proportional to 101.95, 140.70 and 58.27

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Solution

The fourth proportional to 101.95, 140.70 and 58.27 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.95 : 140.70 = 58.27 : x
  2. Step 2: Convert to fraction form
    101.95/140.70 = 58.27/x
  3. Step 3: Cross multiply
    101.95x = 140.70 × 58.27
  4. Step 4: Simplify right side
    101.95x = 8,198.59
  5. Step 5: Solve for x
    x = 8,198.59/101.95
  6. Step 6: Final answer
    x = 80.42

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