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Finding the Fourth Proportional to 101.96, 140.67 and 59.94

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Solution

The fourth proportional to 101.96, 140.67 and 59.94 is: 82.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.96 : 140.67 = 59.94 : x
  2. Step 2: Convert to fraction form
    101.96/140.67 = 59.94/x
  3. Step 3: Cross multiply
    101.96x = 140.67 × 59.94
  4. Step 4: Simplify right side
    101.96x = 8,431.76
  5. Step 5: Solve for x
    x = 8,431.76/101.96
  6. Step 6: Final answer
    x = 82.70

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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.