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Finding the Fourth Proportional to 110.56, 165.92 and 82.08

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Solution

The fourth proportional to 110.56, 165.92 and 82.08 is: 123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.56 : 165.92 = 82.08 : x
  2. Step 2: Convert to fraction form
    110.56/165.92 = 82.08/x
  3. Step 3: Cross multiply
    110.56x = 165.92 × 82.08
  4. Step 4: Simplify right side
    110.56x = 13,618.71
  5. Step 5: Solve for x
    x = 13,618.71/110.56
  6. Step 6: Final answer
    x = 123.18

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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.