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Finding the Fourth Proportional to 140.36, 193.74 and 114.68

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Solution

The fourth proportional to 140.36, 193.74 and 114.68 is: 158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.36 : 193.74 = 114.68 : x
  2. Step 2: Convert to fraction form
    140.36/193.74 = 114.68/x
  3. Step 3: Cross multiply
    140.36x = 193.74 × 114.68
  4. Step 4: Simplify right side
    140.36x = 22,218.10
  5. Step 5: Solve for x
    x = 22,218.10/140.36
  6. Step 6: Final answer
    x = 158.29

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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.