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Finding the Fourth Proportional to 180.52, 270.68 and 107.40

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Solution

The fourth proportional to 180.52, 270.68 and 107.40 is: 161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.52 : 270.68 = 107.40 : x
  2. Step 2: Convert to fraction form
    180.52/270.68 = 107.40/x
  3. Step 3: Cross multiply
    180.52x = 270.68 × 107.40
  4. Step 4: Simplify right side
    180.52x = 29,071.51
  5. Step 5: Solve for x
    x = 29,071.51/180.52
  6. Step 6: Final answer
    x = 161.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.