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Finding the Fourth Proportional to 150.42, 225.76 and 82.01

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Solution

The fourth proportional to 150.42, 225.76 and 82.01 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.42 : 225.76 = 82.01 : x
  2. Step 2: Convert to fraction form
    150.42/225.76 = 82.01/x
  3. Step 3: Cross multiply
    150.42x = 225.76 × 82.01
  4. Step 4: Simplify right side
    150.42x = 18,514.58
  5. Step 5: Solve for x
    x = 18,514.58/150.42
  6. Step 6: Final answer
    x = 123.09

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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.