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Finding the Fourth Proportional to 150.43, 207.42 and 106.22

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Solution

The fourth proportional to 150.43, 207.42 and 106.22 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.43 : 207.42 = 106.22 : x
  2. Step 2: Convert to fraction form
    150.43/207.42 = 106.22/x
  3. Step 3: Cross multiply
    150.43x = 207.42 × 106.22
  4. Step 4: Simplify right side
    150.43x = 22,032.15
  5. Step 5: Solve for x
    x = 22,032.15/150.43
  6. Step 6: Final answer
    x = 146.46

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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.