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Finding the Fourth Proportional to 180.94, 271.12 and 72.66

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Solution

The fourth proportional to 180.94, 271.12 and 72.66 is: 108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 271.12 = 72.66 : x
  2. Step 2: Convert to fraction form
    180.94/271.12 = 72.66/x
  3. Step 3: Cross multiply
    180.94x = 271.12 × 72.66
  4. Step 4: Simplify right side
    180.94x = 19,699.58
  5. Step 5: Solve for x
    x = 19,699.58/180.94
  6. Step 6: Final answer
    x = 108.87

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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.