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Finding the Fourth Proportional to 139.37, 191.69 and 114.29

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Solution

The fourth proportional to 139.37, 191.69 and 114.29 is: 157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.37 : 191.69 = 114.29 : x
  2. Step 2: Convert to fraction form
    139.37/191.69 = 114.29/x
  3. Step 3: Cross multiply
    139.37x = 191.69 × 114.29
  4. Step 4: Simplify right side
    139.37x = 21,907.68
  5. Step 5: Solve for x
    x = 21,907.68/139.37
  6. Step 6: Final answer
    x = 157.20

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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.