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Finding the Fourth Proportional to 119.16, 163.98 and 115.92

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Solution

The fourth proportional to 119.16, 163.98 and 115.92 is: 159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.16 : 163.98 = 115.92 : x
  2. Step 2: Convert to fraction form
    119.16/163.98 = 115.92/x
  3. Step 3: Cross multiply
    119.16x = 163.98 × 115.92
  4. Step 4: Simplify right side
    119.16x = 19,008.56
  5. Step 5: Solve for x
    x = 19,008.56/119.16
  6. Step 6: Final answer
    x = 159.52

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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.