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Finding the Fourth Proportional to 149.45, 224.21 and 56.90

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Solution

The fourth proportional to 149.45, 224.21 and 56.90 is: 85.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.45 : 224.21 = 56.90 : x
  2. Step 2: Convert to fraction form
    149.45/224.21 = 56.90/x
  3. Step 3: Cross multiply
    149.45x = 224.21 × 56.90
  4. Step 4: Simplify right side
    149.45x = 12,757.55
  5. Step 5: Solve for x
    x = 12,757.55/149.45
  6. Step 6: Final answer
    x = 85.36

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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.