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Finding the Fourth Proportional to 109.10, 164.25 and 94.22

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Solution

The fourth proportional to 109.10, 164.25 and 94.22 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.10 : 164.25 = 94.22 : x
  2. Step 2: Convert to fraction form
    109.10/164.25 = 94.22/x
  3. Step 3: Cross multiply
    109.10x = 164.25 × 94.22
  4. Step 4: Simplify right side
    109.10x = 15,475.16
  5. Step 5: Solve for x
    x = 15,475.16/109.10
  6. Step 6: Final answer
    x = 141.84

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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.