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Finding the Fourth Proportional to 149.70, 224.62 and 77.56

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Solution

The fourth proportional to 149.70, 224.62 and 77.56 is: 116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.70 : 224.62 = 77.56 : x
  2. Step 2: Convert to fraction form
    149.70/224.62 = 77.56/x
  3. Step 3: Cross multiply
    149.70x = 224.62 × 77.56
  4. Step 4: Simplify right side
    149.70x = 17,421.53
  5. Step 5: Solve for x
    x = 17,421.53/149.70
  6. Step 6: Final answer
    x = 116.38

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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.