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Finding the Fourth Proportional to 140.01, 193.09 and 103.15

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Solution

The fourth proportional to 140.01, 193.09 and 103.15 is: 142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.01 : 193.09 = 103.15 : x
  2. Step 2: Convert to fraction form
    140.01/193.09 = 103.15/x
  3. Step 3: Cross multiply
    140.01x = 193.09 × 103.15
  4. Step 4: Simplify right side
    140.01x = 19,917.23
  5. Step 5: Solve for x
    x = 19,917.23/140.01
  6. Step 6: Final answer
    x = 142.26

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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.