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Finding the Fourth Proportional to 115.82, 159.48 and 108.48

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Solution

The fourth proportional to 115.82, 159.48 and 108.48 is: 149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.82 : 159.48 = 108.48 : x
  2. Step 2: Convert to fraction form
    115.82/159.48 = 108.48/x
  3. Step 3: Cross multiply
    115.82x = 159.48 × 108.48
  4. Step 4: Simplify right side
    115.82x = 17,299.59
  5. Step 5: Solve for x
    x = 17,299.59/115.82
  6. Step 6: Final answer
    x = 149.37

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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.