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Finding the Fourth Proportional to 180.19, 270.40 and 71.99

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Solution

The fourth proportional to 180.19, 270.40 and 71.99 is: 108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.19 : 270.40 = 71.99 : x
  2. Step 2: Convert to fraction form
    180.19/270.40 = 71.99/x
  3. Step 3: Cross multiply
    180.19x = 270.40 × 71.99
  4. Step 4: Simplify right side
    180.19x = 19,464.38
  5. Step 5: Solve for x
    x = 19,464.38/180.19
  6. Step 6: Final answer
    x = 108.02

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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.