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Finding the Fourth Proportional to 110.52, 164.82 and 108.06

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Solution

The fourth proportional to 110.52, 164.82 and 108.06 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.52 : 164.82 = 108.06 : x
  2. Step 2: Convert to fraction form
    110.52/164.82 = 108.06/x
  3. Step 3: Cross multiply
    110.52x = 164.82 × 108.06
  4. Step 4: Simplify right side
    110.52x = 17,810.45
  5. Step 5: Solve for x
    x = 17,810.45/110.52
  6. Step 6: Final answer
    x = 161.15

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