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Finding the Fourth Proportional to 150.09, 207.05 and 100.32

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Solution

The fourth proportional to 150.09, 207.05 and 100.32 is: 138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.09 : 207.05 = 100.32 : x
  2. Step 2: Convert to fraction form
    150.09/207.05 = 100.32/x
  3. Step 3: Cross multiply
    150.09x = 207.05 × 100.32
  4. Step 4: Simplify right side
    150.09x = 20,770.75
  5. Step 5: Solve for x
    x = 20,770.75/150.09
  6. Step 6: Final answer
    x = 138.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.