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Finding the Fourth Proportional to 150.96, 207.96 and 126.06

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Solution

The fourth proportional to 150.96, 207.96 and 126.06 is: 173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 207.96 = 126.06 : x
  2. Step 2: Convert to fraction form
    150.96/207.96 = 126.06/x
  3. Step 3: Cross multiply
    150.96x = 207.96 × 126.06
  4. Step 4: Simplify right side
    150.96x = 26,215.44
  5. Step 5: Solve for x
    x = 26,215.44/150.96
  6. Step 6: Final answer
    x = 173.66

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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.