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Finding the Fourth Proportional to 119.35, 164.64 and 102.95

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Solution

The fourth proportional to 119.35, 164.64 and 102.95 is: 142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.35 : 164.64 = 102.95 : x
  2. Step 2: Convert to fraction form
    119.35/164.64 = 102.95/x
  3. Step 3: Cross multiply
    119.35x = 164.64 × 102.95
  4. Step 4: Simplify right side
    119.35x = 16,949.69
  5. Step 5: Solve for x
    x = 16,949.69/119.35
  6. Step 6: Final answer
    x = 142.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.