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Finding the Fourth Proportional to 180.10, 270.13 and 77.40

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Solution

The fourth proportional to 180.10, 270.13 and 77.40 is: 116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 270.13 = 77.40 : x
  2. Step 2: Convert to fraction form
    180.10/270.13 = 77.40/x
  3. Step 3: Cross multiply
    180.10x = 270.13 × 77.40
  4. Step 4: Simplify right side
    180.10x = 20,908.06
  5. Step 5: Solve for x
    x = 20,908.06/180.10
  6. Step 6: Final answer
    x = 116.09

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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.