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Finding the Fourth Proportional to 149.27, 224.00 and 72.32

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Solution

The fourth proportional to 149.27, 224.00 and 72.32 is: 108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.27 : 224.00 = 72.32 : x
  2. Step 2: Convert to fraction form
    149.27/224.00 = 72.32/x
  3. Step 3: Cross multiply
    149.27x = 224.00 × 72.32
  4. Step 4: Simplify right side
    149.27x = 16,198.47
  5. Step 5: Solve for x
    x = 16,198.47/149.27
  6. Step 6: Final answer
    x = 108.52

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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.