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Finding the Fourth Proportional to 180.72, 249.12 and 125.46

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Solution

The fourth proportional to 180.72, 249.12 and 125.46 is: 172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 249.12 = 125.46 : x
  2. Step 2: Convert to fraction form
    180.72/249.12 = 125.46/x
  3. Step 3: Cross multiply
    180.72x = 249.12 × 125.46
  4. Step 4: Simplify right side
    180.72x = 31,254.60
  5. Step 5: Solve for x
    x = 31,254.60/180.72
  6. Step 6: Final answer
    x = 172.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.