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Finding the Fourth Proportional to 150.09, 224.81 and 89.19

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Solution

The fourth proportional to 150.09, 224.81 and 89.19 is: 133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.09 : 224.81 = 89.19 : x
  2. Step 2: Convert to fraction form
    150.09/224.81 = 89.19/x
  3. Step 3: Cross multiply
    150.09x = 224.81 × 89.19
  4. Step 4: Simplify right side
    150.09x = 20,050.36
  5. Step 5: Solve for x
    x = 20,050.36/150.09
  6. Step 6: Final answer
    x = 133.59

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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.