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Finding the Fourth Proportional to 146.52, 219.67 and 72.37

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Solution

The fourth proportional to 146.52, 219.67 and 72.37 is: 108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 219.67 = 72.37 : x
  2. Step 2: Convert to fraction form
    146.52/219.67 = 72.37/x
  3. Step 3: Cross multiply
    146.52x = 219.67 × 72.37
  4. Step 4: Simplify right side
    146.52x = 15,897.52
  5. Step 5: Solve for x
    x = 15,897.52/146.52
  6. Step 6: Final answer
    x = 108.50

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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.