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Finding the Fourth Proportional to 106.36, 159.27 and 83.66

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Solution

The fourth proportional to 106.36, 159.27 and 83.66 is: 125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.36 : 159.27 = 83.66 : x
  2. Step 2: Convert to fraction form
    106.36/159.27 = 83.66/x
  3. Step 3: Cross multiply
    106.36x = 159.27 × 83.66
  4. Step 4: Simplify right side
    106.36x = 13,323.42
  5. Step 5: Solve for x
    x = 13,323.42/106.36
  6. Step 6: Final answer
    x = 125.27

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