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Finding the Fourth Proportional to 180.71, 270.89 and 78.07

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Solution

The fourth proportional to 180.71, 270.89 and 78.07 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.71 : 270.89 = 78.07 : x
  2. Step 2: Convert to fraction form
    180.71/270.89 = 78.07/x
  3. Step 3: Cross multiply
    180.71x = 270.89 × 78.07
  4. Step 4: Simplify right side
    180.71x = 21,147.03
  5. Step 5: Solve for x
    x = 21,147.03/180.71
  6. Step 6: Final answer
    x = 117.02

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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.