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Finding the Fourth Proportional to 106.41, 159.27 and 71.96

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Solution

The fourth proportional to 106.41, 159.27 and 71.96 is: 107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.41 : 159.27 = 71.96 : x
  2. Step 2: Convert to fraction form
    106.41/159.27 = 71.96/x
  3. Step 3: Cross multiply
    106.41x = 159.27 × 71.96
  4. Step 4: Simplify right side
    106.41x = 11,460.00
  5. Step 5: Solve for x
    x = 11,460.00/106.41
  6. Step 6: Final answer
    x = 107.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.