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Finding the Fourth Proportional to 180.55, 270.74 and 83.02

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Solution

The fourth proportional to 180.55, 270.74 and 83.02 is: 124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.55 : 270.74 = 83.02 : x
  2. Step 2: Convert to fraction form
    180.55/270.74 = 83.02/x
  3. Step 3: Cross multiply
    180.55x = 270.74 × 83.02
  4. Step 4: Simplify right side
    180.55x = 22,476.83
  5. Step 5: Solve for x
    x = 22,476.83/180.55
  6. Step 6: Final answer
    x = 124.49

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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.