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Finding the Fourth Proportional to 150.08, 224.91 and 89.19

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Solution

The fourth proportional to 150.08, 224.91 and 89.19 is: 133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 224.91 = 89.19 : x
  2. Step 2: Convert to fraction form
    150.08/224.91 = 89.19/x
  3. Step 3: Cross multiply
    150.08x = 224.91 × 89.19
  4. Step 4: Simplify right side
    150.08x = 20,059.72
  5. Step 5: Solve for x
    x = 20,059.72/150.08
  6. Step 6: Final answer
    x = 133.66

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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.