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Finding the Fourth Proportional to 101.24, 140.67 and 100.83

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Solution

The fourth proportional to 101.24, 140.67 and 100.83 is: 140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.24 : 140.67 = 100.83 : x
  2. Step 2: Convert to fraction form
    101.24/140.67 = 100.83/x
  3. Step 3: Cross multiply
    101.24x = 140.67 × 100.83
  4. Step 4: Simplify right side
    101.24x = 14,183.76
  5. Step 5: Solve for x
    x = 14,183.76/101.24
  6. Step 6: Final answer
    x = 140.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.