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Finding the Fourth Proportional to 149.44, 224.18 and 53.25

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Solution

The fourth proportional to 149.44, 224.18 and 53.25 is: 79.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.44 : 224.18 = 53.25 : x
  2. Step 2: Convert to fraction form
    149.44/224.18 = 53.25/x
  3. Step 3: Cross multiply
    149.44x = 224.18 × 53.25
  4. Step 4: Simplify right side
    149.44x = 11,937.32
  5. Step 5: Solve for x
    x = 11,937.32/149.44
  6. Step 6: Final answer
    x = 79.88

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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.