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Finding the Fourth Proportional to 130.94, 180.70 and 72.73

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Solution

The fourth proportional to 130.94, 180.70 and 72.73 is: 100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.94 : 180.70 = 72.73 : x
  2. Step 2: Convert to fraction form
    130.94/180.70 = 72.73/x
  3. Step 3: Cross multiply
    130.94x = 180.70 × 72.73
  4. Step 4: Simplify right side
    130.94x = 13,142.31
  5. Step 5: Solve for x
    x = 13,142.31/130.94
  6. Step 6: Final answer
    x = 100.37

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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.