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Finding the Fourth Proportional to 106.14, 159.12 and 81.75

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Solution

The fourth proportional to 106.14, 159.12 and 81.75 is: 122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 159.12 = 81.75 : x
  2. Step 2: Convert to fraction form
    106.14/159.12 = 81.75/x
  3. Step 3: Cross multiply
    106.14x = 159.12 × 81.75
  4. Step 4: Simplify right side
    106.14x = 13,008.06
  5. Step 5: Solve for x
    x = 13,008.06/106.14
  6. Step 6: Final answer
    x = 122.56

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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.