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Finding the Fourth Proportional to 180.02, 270.13 and 103.07

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Solution

The fourth proportional to 180.02, 270.13 and 103.07 is: 154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.02 : 270.13 = 103.07 : x
  2. Step 2: Convert to fraction form
    180.02/270.13 = 103.07/x
  3. Step 3: Cross multiply
    180.02x = 270.13 × 103.07
  4. Step 4: Simplify right side
    180.02x = 27,842.30
  5. Step 5: Solve for x
    x = 27,842.30/180.02
  6. Step 6: Final answer
    x = 154.66

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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.