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Finding the Fourth Proportional to 109.15, 164.38 and 82.28

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Solution

The fourth proportional to 109.15, 164.38 and 82.28 is: 123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.15 : 164.38 = 82.28 : x
  2. Step 2: Convert to fraction form
    109.15/164.38 = 82.28/x
  3. Step 3: Cross multiply
    109.15x = 164.38 × 82.28
  4. Step 4: Simplify right side
    109.15x = 13,525.55
  5. Step 5: Solve for x
    x = 13,525.55/109.15
  6. Step 6: Final answer
    x = 123.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.