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Finding the Fourth Proportional to 72.25, 108.32 and 46.55

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Solution

The fourth proportional to 72.25, 108.32 and 46.55 is: 69.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.25 : 108.32 = 46.55 : x
  2. Step 2: Convert to fraction form
    72.25/108.32 = 46.55/x
  3. Step 3: Cross multiply
    72.25x = 108.32 × 46.55
  4. Step 4: Simplify right side
    72.25x = 5,042.33
  5. Step 5: Solve for x
    x = 5,042.33/72.25
  6. Step 6: Final answer
    x = 69.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.