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Finding the Fourth Proportional to 115.71, 159.62 and 103.97

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Solution

The fourth proportional to 115.71, 159.62 and 103.97 is: 143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.71 : 159.62 = 103.97 : x
  2. Step 2: Convert to fraction form
    115.71/159.62 = 103.97/x
  3. Step 3: Cross multiply
    115.71x = 159.62 × 103.97
  4. Step 4: Simplify right side
    115.71x = 16,594.37
  5. Step 5: Solve for x
    x = 16,594.37/115.71
  6. Step 6: Final answer
    x = 143.41

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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.