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Finding the Fourth Proportional to 110.92, 165.56 and 106.56

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Solution

The fourth proportional to 110.92, 165.56 and 106.56 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.92 : 165.56 = 106.56 : x
  2. Step 2: Convert to fraction form
    110.92/165.56 = 106.56/x
  3. Step 3: Cross multiply
    110.92x = 165.56 × 106.56
  4. Step 4: Simplify right side
    110.92x = 17,641.54
  5. Step 5: Solve for x
    x = 17,641.54/110.92
  6. Step 6: Final answer
    x = 159.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.