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Finding the Fourth Proportional to 101.70, 140.02 and 85.29

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Solution

The fourth proportional to 101.70, 140.02 and 85.29 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.70 : 140.02 = 85.29 : x
  2. Step 2: Convert to fraction form
    101.70/140.02 = 85.29/x
  3. Step 3: Cross multiply
    101.70x = 140.02 × 85.29
  4. Step 4: Simplify right side
    101.70x = 11,942.31
  5. Step 5: Solve for x
    x = 11,942.31/101.70
  6. Step 6: Final answer
    x = 117.43

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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.