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Finding the Fourth Proportional to 150.00, 225.03 and 81.58

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Solution

The fourth proportional to 150.00, 225.03 and 81.58 is: 122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.00 : 225.03 = 81.58 : x
  2. Step 2: Convert to fraction form
    150.00/225.03 = 81.58/x
  3. Step 3: Cross multiply
    150.00x = 225.03 × 81.58
  4. Step 4: Simplify right side
    150.00x = 18,357.54
  5. Step 5: Solve for x
    x = 18,357.54/150.00
  6. Step 6: Final answer
    x = 122.39

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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.