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Finding the Fourth Proportional to 150.57, 207.70 and 109.06

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Solution

The fourth proportional to 150.57, 207.70 and 109.06 is: 150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.57 : 207.70 = 109.06 : x
  2. Step 2: Convert to fraction form
    150.57/207.70 = 109.06/x
  3. Step 3: Cross multiply
    150.57x = 207.70 × 109.06
  4. Step 4: Simplify right side
    150.57x = 22,650.97
  5. Step 5: Solve for x
    x = 22,650.97/150.57
  6. Step 6: Final answer
    x = 150.43

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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.