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Finding the Fourth Proportional to 150.09, 225.20 and 102.07

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Solution

The fourth proportional to 150.09, 225.20 and 102.07 is: 153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.09 : 225.20 = 102.07 : x
  2. Step 2: Convert to fraction form
    150.09/225.20 = 102.07/x
  3. Step 3: Cross multiply
    150.09x = 225.20 × 102.07
  4. Step 4: Simplify right side
    150.09x = 22,986.16
  5. Step 5: Solve for x
    x = 22,986.16/150.09
  6. Step 6: Final answer
    x = 153.15

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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.