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Finding the Fourth Proportional to 150.48, 225.86 and 73.49

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Solution

The fourth proportional to 150.48, 225.86 and 73.49 is: 110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.48 : 225.86 = 73.49 : x
  2. Step 2: Convert to fraction form
    150.48/225.86 = 73.49/x
  3. Step 3: Cross multiply
    150.48x = 225.86 × 73.49
  4. Step 4: Simplify right side
    150.48x = 16,596.95
  5. Step 5: Solve for x
    x = 16,596.95/150.48
  6. Step 6: Final answer
    x = 110.29

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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.