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Finding the Fourth Proportional to 149.95, 225.01 and 84.92

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Solution

The fourth proportional to 149.95, 225.01 and 84.92 is: 127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.95 : 225.01 = 84.92 : x
  2. Step 2: Convert to fraction form
    149.95/225.01 = 84.92/x
  3. Step 3: Cross multiply
    149.95x = 225.01 × 84.92
  4. Step 4: Simplify right side
    149.95x = 19,107.85
  5. Step 5: Solve for x
    x = 19,107.85/149.95
  6. Step 6: Final answer
    x = 127.43

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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.