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Finding the Fourth Proportional to 101.85, 140.60 and 77.34

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Solution

The fourth proportional to 101.85, 140.60 and 77.34 is: 106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.85 : 140.60 = 77.34 : x
  2. Step 2: Convert to fraction form
    101.85/140.60 = 77.34/x
  3. Step 3: Cross multiply
    101.85x = 140.60 × 77.34
  4. Step 4: Simplify right side
    101.85x = 10,874.00
  5. Step 5: Solve for x
    x = 10,874.00/101.85
  6. Step 6: Final answer
    x = 106.76

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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.