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Finding the Fourth Proportional to 110.78, 164.92 and 109.16

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Solution

The fourth proportional to 110.78, 164.92 and 109.16 is: 162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 164.92 = 109.16 : x
  2. Step 2: Convert to fraction form
    110.78/164.92 = 109.16/x
  3. Step 3: Cross multiply
    110.78x = 164.92 × 109.16
  4. Step 4: Simplify right side
    110.78x = 18,002.67
  5. Step 5: Solve for x
    x = 18,002.67/110.78
  6. Step 6: Final answer
    x = 162.51

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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.