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Finding the Fourth Proportional to 180.08, 270.14 and 50.10

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Solution

The fourth proportional to 180.08, 270.14 and 50.10 is: 75.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.08 : 270.14 = 50.10 : x
  2. Step 2: Convert to fraction form
    180.08/270.14 = 50.10/x
  3. Step 3: Cross multiply
    180.08x = 270.14 × 50.10
  4. Step 4: Simplify right side
    180.08x = 13,532.75
  5. Step 5: Solve for x
    x = 13,532.75/180.08
  6. Step 6: Final answer
    x = 75.15

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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.