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Finding the Fourth Proportional to 180.09, 270.18 and 64.59

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Solution

The fourth proportional to 180.09, 270.18 and 64.59 is: 96.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 270.18 = 64.59 : x
  2. Step 2: Convert to fraction form
    180.09/270.18 = 64.59/x
  3. Step 3: Cross multiply
    180.09x = 270.18 × 64.59
  4. Step 4: Simplify right side
    180.09x = 17,450.93
  5. Step 5: Solve for x
    x = 17,450.93/180.09
  6. Step 6: Final answer
    x = 96.90

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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.