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Finding the Fourth Proportional to 139.65, 193.22 and 117.78

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Solution

The fourth proportional to 139.65, 193.22 and 117.78 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.65 : 193.22 = 117.78 : x
  2. Step 2: Convert to fraction form
    139.65/193.22 = 117.78/x
  3. Step 3: Cross multiply
    139.65x = 193.22 × 117.78
  4. Step 4: Simplify right side
    139.65x = 22,757.45
  5. Step 5: Solve for x
    x = 22,757.45/139.65
  6. Step 6: Final answer
    x = 162.96

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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.