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Finding the Fourth Proportional to 150.56, 225.84 and 82.08

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Solution

The fourth proportional to 150.56, 225.84 and 82.08 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 225.84 = 82.08 : x
  2. Step 2: Convert to fraction form
    150.56/225.84 = 82.08/x
  3. Step 3: Cross multiply
    150.56x = 225.84 × 82.08
  4. Step 4: Simplify right side
    150.56x = 18,536.95
  5. Step 5: Solve for x
    x = 18,536.95/150.56
  6. Step 6: Final answer
    x = 123.12

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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.