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Finding the Fourth Proportional to 110.09, 164.97 and 52.29

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Solution

The fourth proportional to 110.09, 164.97 and 52.29 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.09 : 164.97 = 52.29 : x
  2. Step 2: Convert to fraction form
    110.09/164.97 = 52.29/x
  3. Step 3: Cross multiply
    110.09x = 164.97 × 52.29
  4. Step 4: Simplify right side
    110.09x = 8,626.28
  5. Step 5: Solve for x
    x = 8,626.28/110.09
  6. Step 6: Final answer
    x = 78.35

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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.