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Finding the Fourth Proportional to 118.35, 164.30 and 111.06

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Solution

The fourth proportional to 118.35, 164.30 and 111.06 is: 154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.35 : 164.30 = 111.06 : x
  2. Step 2: Convert to fraction form
    118.35/164.30 = 111.06/x
  3. Step 3: Cross multiply
    118.35x = 164.30 × 111.06
  4. Step 4: Simplify right side
    118.35x = 18,246.60
  5. Step 5: Solve for x
    x = 18,246.60/118.35
  6. Step 6: Final answer
    x = 154.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.