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Finding the Fourth Proportional to 109.62, 164.13 and 106.14

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Solution

The fourth proportional to 109.62, 164.13 and 106.14 is: 158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.62 : 164.13 = 106.14 : x
  2. Step 2: Convert to fraction form
    109.62/164.13 = 106.14/x
  3. Step 3: Cross multiply
    109.62x = 164.13 × 106.14
  4. Step 4: Simplify right side
    109.62x = 17,420.76
  5. Step 5: Solve for x
    x = 17,420.76/109.62
  6. Step 6: Final answer
    x = 158.92

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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.