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Finding the Fourth Proportional to 149.83, 224.40 and 106.54

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Solution

The fourth proportional to 149.83, 224.40 and 106.54 is: 159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.83 : 224.40 = 106.54 : x
  2. Step 2: Convert to fraction form
    149.83/224.40 = 106.54/x
  3. Step 3: Cross multiply
    149.83x = 224.40 × 106.54
  4. Step 4: Simplify right side
    149.83x = 23,907.58
  5. Step 5: Solve for x
    x = 23,907.58/149.83
  6. Step 6: Final answer
    x = 159.56

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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.