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Finding the Fourth Proportional to 180.01, 270.08 and 103.06

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Solution

The fourth proportional to 180.01, 270.08 and 103.06 is: 154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.01 : 270.08 = 103.06 : x
  2. Step 2: Convert to fraction form
    180.01/270.08 = 103.06/x
  3. Step 3: Cross multiply
    180.01x = 270.08 × 103.06
  4. Step 4: Simplify right side
    180.01x = 27,834.44
  5. Step 5: Solve for x
    x = 27,834.44/180.01
  6. Step 6: Final answer
    x = 154.63

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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.