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Finding the Fourth Proportional to 149.70, 224.44 and 76.52

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Solution

The fourth proportional to 149.70, 224.44 and 76.52 is: 114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.70 : 224.44 = 76.52 : x
  2. Step 2: Convert to fraction form
    149.70/224.44 = 76.52/x
  3. Step 3: Cross multiply
    149.70x = 224.44 × 76.52
  4. Step 4: Simplify right side
    149.70x = 17,173.77
  5. Step 5: Solve for x
    x = 17,173.77/149.70
  6. Step 6: Final answer
    x = 114.72

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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.