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Finding the Fourth Proportional to 140.31, 193.70 and 101.06

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Solution

The fourth proportional to 140.31, 193.70 and 101.06 is: 139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.31 : 193.70 = 101.06 : x
  2. Step 2: Convert to fraction form
    140.31/193.70 = 101.06/x
  3. Step 3: Cross multiply
    140.31x = 193.70 × 101.06
  4. Step 4: Simplify right side
    140.31x = 19,576.56
  5. Step 5: Solve for x
    x = 19,576.56/140.31
  6. Step 6: Final answer
    x = 139.53

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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.