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Finding the Fourth Proportional to 149.78, 224.59 and 81.14

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Solution

The fourth proportional to 149.78, 224.59 and 81.14 is: 121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 224.59 = 81.14 : x
  2. Step 2: Convert to fraction form
    149.78/224.59 = 81.14/x
  3. Step 3: Cross multiply
    149.78x = 224.59 × 81.14
  4. Step 4: Simplify right side
    149.78x = 18,223.23
  5. Step 5: Solve for x
    x = 18,223.23/149.78
  6. Step 6: Final answer
    x = 121.67

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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.