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Finding the Fourth Proportional to 150.64, 225.96 and 54.46

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Solution

The fourth proportional to 150.64, 225.96 and 54.46 is: 81.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.64 : 225.96 = 54.46 : x
  2. Step 2: Convert to fraction form
    150.64/225.96 = 54.46/x
  3. Step 3: Cross multiply
    150.64x = 225.96 × 54.46
  4. Step 4: Simplify right side
    150.64x = 12,305.78
  5. Step 5: Solve for x
    x = 12,305.78/150.64
  6. Step 6: Final answer
    x = 81.69

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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.