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Finding the Fourth Proportional to 149.77, 224.51 and 72.62

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Solution

The fourth proportional to 149.77, 224.51 and 72.62 is: 108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.77 : 224.51 = 72.62 : x
  2. Step 2: Convert to fraction form
    149.77/224.51 = 72.62/x
  3. Step 3: Cross multiply
    149.77x = 224.51 × 72.62
  4. Step 4: Simplify right side
    149.77x = 16,303.27
  5. Step 5: Solve for x
    x = 16,303.27/149.77
  6. Step 6: Final answer
    x = 108.85

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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.