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Finding the Fourth Proportional to 140.64, 193.44 and 115.44

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Solution

The fourth proportional to 140.64, 193.44 and 115.44 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.64 : 193.44 = 115.44 : x
  2. Step 2: Convert to fraction form
    140.64/193.44 = 115.44/x
  3. Step 3: Cross multiply
    140.64x = 193.44 × 115.44
  4. Step 4: Simplify right side
    140.64x = 22,330.71
  5. Step 5: Solve for x
    x = 22,330.71/140.64
  6. Step 6: Final answer
    x = 158.78

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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.