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Finding the Fourth Proportional to 235.08, 352.51 and 72.73

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Solution

The fourth proportional to 235.08, 352.51 and 72.73 is: 109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.08 : 352.51 = 72.73 : x
  2. Step 2: Convert to fraction form
    235.08/352.51 = 72.73/x
  3. Step 3: Cross multiply
    235.08x = 352.51 × 72.73
  4. Step 4: Simplify right side
    235.08x = 25,638.05
  5. Step 5: Solve for x
    x = 25,638.05/235.08
  6. Step 6: Final answer
    x = 109.06

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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.